These are gen recs especially starring Malfoys: Draco, Lucius, and Narcissa after her marriage. If any fics about past Malfoys turn up, they'll be included here also. Consider them pure gen unless otherwise noted.
Draco
Lucius
Narcissa
Malfoy OCs
The 'A Day In the Life Of...' Series (G and PG) by Angela Boyko. Small bits of random shipping, mostly in the Ginny chapter, but mostly gen. An average day for several HP characters, including all three Malfoys, Rita Skeeter, Dobby, and Ginny Weasley. Amusing, especially Dobby's entry. All one shots.
A Flying Commentary (PG-13) by MamaLaz. After Draco is cut from the Quidditch team, he enjoys an eventful trial run as commentator. Fun. One shot.
A Little Prince (PG-13) by rosesanguina. An AU that adapts The Little Princess to the Potterverse, with Draco taking the part of Sara Crewe. I dare you to get through this fic without crying. Novel length.
A Most Unlikely Pair (G) by Eodrakken. Baby Draco is crying, and Peter has to figure out a way to calm him down. Cute. Short one shot.
Aetiologica (PG-13) by lalejandra. After Harry kills Voldemort, Draco finds out some things about his ancestry and Neville offers the hand of friendship. One shot.
All Save the Good (PG) by !Super Cat. Absolutely loffly interaction between Snape and Draco, and a keen insight into the way things seem to work at Hogwarts. One shot.
The Almost Legend of Draco Malfoy (PG-13) by zahra. Mention of het and slash relationships. The story of Draco's life. Somewhat depressing. Short one shot.
And he'll never walk Draco again... (PG-13) by Trillian Black. Lucius takes baby Draco out for a stroll. One shot.
And I Get By (PG-13?) by Silvia. There's an offhand reference to Ron liking some girl. Harry and Draco and their weird connection. I think if they're ever friends, it'll be like this. One shot.
Avocado (PG) by LittleGreenPerson. Nymphadora and Charlie find a little boy in Diagon Alley who threatens to "avocado" them. This fic manages to be both funny and horrifying. One shot.
Blood and hair (R) by Te. Harry, and Sirius, and Draco, and what is done during war. Somewhat disturbing implications. One shot.
Bow to the Inevitable (G) by Adelina. When Draco is born, Lucius doesn't quite know what to do with him. Cute. One shot.
Broken Man (PG-13) by Nokomis. Draco post-OotP, reflecting on what it means to be a Malfoy now. One shot.
Captain My Own Soul (G) by Sam Vimes. After HBP, Draco is taken to a cottage where he meets his new teacher. One shot.
The Children (PG-13) by Sam Vimes. There was past Harry/Cho, and there's a minor shipping mention near the end, but it doesn't go anywhere. Post-war fic with the folks who survived, from Draco's POV. Super-angsty. One shot.
Chosen (PG-13) by Gehayi. In which Draco has a special job among the Death Eaters, and Voldemort gets something he's always longed to have. Dark. One shot.
Dandelion (PG-13) by Ivy Blossom. Draco runs into Harry and Hermione one day after they finish at Hogwarts, and they become unlikely friends. One shot.
The Dark (T) by Kay. Draco gets locked up and goes a bit crazy. Nice horrorfic. One shot.
Domestic (PG-13/Rish) by crimsonclad. Draco watches his mother kill his father and then runs into Professor Lupin, of all people. Well written, and I like Draco's characterization. One shot.
Draco Malfoy and the Brat Who Lived (PG-13) by kete. The story of Draco's life, told from his own point of view. Kete sets out to create a Draco who can reasonably be redeemed without being OOC, and she does an awesome job of it. WIP, probably to be novel length.
Et Ne Nos Inducas In Tentationem (PG-13) by Hijja. Draco stops Harry from jumping off the Astronomy Tower, but not for the usual reasons. The last paragraph is chilling. One shot.
Everybody Knows (PG-13) by koanju. Draco speaks to Dumbledore, and thinks about Slytherin house. I like how we never actually know if Draco did what Dumbledore thinks he did. One shot.
A Father and his Son (PG-13) by Bunney. Lucius and Draco have a chat. Not at all nice. One shot.
The First Signs of Magic Series (PG?) by Icarus. So far there's Draco, Hermione, and Snape. It's pretty self-explanatory: the first time these three displayed powers. Fluff, humor, and angst. Each is a one shot.
Helheim (R) by CJ. Pure gen, though there's reference to masturbation. Draco and his parents slowly rot inside their manor. Creepy. Short one shot.
Holes (PG) by lifeinwords. Good!Draco, trapped by Death Eaters, tries to get Harry to help them get out. Freaky, especially once you figure out what happened. One shot.
Hush Little Baby (G) by D.M.P. At two months old, Draco simply won't stop crying. Lucius tries to help. Sweet. One shot.
The Long and Winding Road (R) by Lucinda Lovegood. Pure gen, though it may later include romance. When Draco reaches the train station after OotP, there's no one there to meet him. His parents are on the run, and his new guardian is his mother's sister Andromeda. Well written. Novel length WIP.
Lion's Mouth, Snake's Bite (R?) by Kat and Tzigane, I think. Pure gen, other than an offhand reference to Narcissa's infidelities. Draco brings home a chimera and Lucius lets him keep it. Cute, without betraying Lucius' Malfoy-ness, and it gets a bit graphic toward the end. One shot.
The Lost Boys (PG-13) by Ishafel. A look at the scars the wizarding world leaves on its children, specifically Draco, Ron, and Harry. Angsty. Chaptered fic.
Mirrors (PG) by Cate. H/D if you squint, but can be read as pure gen. Seven scenes from Draco's life. One shot.
Only Your Shadow (PG-13) by Phoenix-Song. It's sorta H/D pre-slashy. Draco, having told Voldemort where Harry would be, decides to follow him around for the day. It's a pretty good Draco redemption fic. One shot.
Opportunity Knocks (PG) by penknife. There's an offhand mention of Draco's lover. Neville wants to avenge the deaths of the Trio, but he keeps getting in the way. One shot.
Playtime (G) by Keieru. Draco, Gregory, and Vincent meet for the first time at age 6. Fluffy and cute. One shot.
The Pop Goes the Weasel Trilogy (PG-13?) by durendal. Very humorous. Ron is a dopehead at 26. Lucius gives him a job in his organization. Draco is his secretary. This fic has a lot of great lines in it. Three fics; the entire thing is novel length.
Ravenclaw (G) by fourth_rose. A member of Ravenclaw thinks about her house. Short one shot.
The Reader (PG-13) by Aja. Mentions of R/Hr near the end, but that's it. Draco and Harry in sixth year, slowly being redeemed. This fic is very lyrical. Long one shot.
Sing, Melusina (R) by Ociwen. One mention of wanking, but otherwise pure gen. Draco sits at Spinner's End after HBP and tries to figure out what to do with himself. One shot.
Slouching Towards Bethlehem (R) by Kroki Refur. Sixth year AU; Harry is moping over Sirius' death, and Draco has disappeared. Novel length WIP, possibly abandoned.
Song For Singing (PG) by foreword. Slight Luna/Draco undertones, but basically gen. Luna experiences a new feeling. Happy, in a weird way. One shot.
Teiresias (PG?) by alibi-factory. Pure gen, apart from a little flirting. Somebody is going back through time to change things. Surreal. One shot.
Telling (PG) by Mardil. Draco reflects over his father's coffin. Sad. One shot.
These Same and Weary Roads (G) by Falkesbane. Snape has an appointment with Draco to talk about future careers, and remembers a similar interview long ago. One shot.
They Shook Hands (PG) by Dethryl. It's fairly obvious how the kids will pair off when they get older, but for now it's pure gen. This is another AU, this one asking what would have happened if Draco had befriended Harry in Madam Malkin's instead of putting him off. As a result, Harry is sorted into Slytherin, and everything changes. I like the OCs in this fic. Novel length, WIP. It's now at the beginning of Harry's second year.
This Living Hand (R?) by Millefiori. It has either very understated Snape/Draco or a close mentor/protegé relationship between them. The summer before Draco's seventh year, he runs away, and Voldemort discovers that Snape is a spy. Nine years later, Harry comes back to teach Defence at Hogwarts. Tense. One shot.
The Three Wishes of Draco Malfoy (PG) by HumanTales. Draco Malfoy makes three wishes on a monkey's paw. Clever. One shot.
Transmit and Recieve (PG) by Kay Taylor. Draco's Mudblood cousin (not Tonks) visited the manor once. Angsty. One shot.
'Twas Winter And (PG) by Theodor. Draco meets a Baba Yaga. Short one shot.
The Valley of the Shadow of Death (PG-13?) by Katerine. Draco has a fainting spell that triggers his abilities as a Medium -- someone who can speak to the ghosts that most living people can't see or hear. Novel length WIP. Katerine hasn't updated in a while, but as of February 2004 she was still writing this fic.
We Few, We Happy Few (PG-13) by 13YearOldEvilGenius. The War is going on, but Harry and Draco have the same sense of ennui. I like this; it's sort of a different take on both of them. One shot.
Winter's Debt (PG-13) by La Guera. Includes references to sex, though it's not shippy. Draco Malfoy remembers what he lost in the War. Gorgeous, gorgeous story. One shot.
A Year Like None Other (M) by aspeninthesunlight. There's a bit of offscreen het. In Harry's 6th year, a letter from Surrey sends him down a path he'd never have walked on his own. Lots of Harry, Snape, and Draco interaction. Very long novel length WIP, updated regularly.
The 'A Day In the Life Of...' Series (G and PG) by Angela Boyko. Small bits of random shipping, mostly in the Ginny chapter, but mostly gen. An average day for several HP characters, including all three Malfoys, Rita Skeeter, Dobby, and Ginny Weasley. Amusing, especially Dobby's entry. All one shots.
And he'll never walk Draco again... (PG-13) by Trillian Black. Lucius takes baby Draco out for a stroll. One shot.
Avada Bloody Kedavra (PG) by lillian78. Lucius is forced to do community service. Cute. One shot.
Bow to the Inevitable (G) by Adelina. When Draco is born, Lucius doesn't quite know what to do with him. Cute. One shot.
Defying Gravity (PG-13) by Felicite. Severus meets Lucius Malfoy for the first time. One shot.
Deny Thy Father and Refuse Thy Name (PG?) by Tenshi. Lucius reflects on his name. One shot.
A Father and his Son (PG-13) by Bunney. Lucius and Draco have a chat. Not at all nice. One shot.
Hush Little Baby (G) by D.M.P. At two months old, Draco simply won't stop crying. Lucius tries to help. Sweet. One shot.
In Blood Only (M) by E.M. Snape. It's a Severitus fic, so of course there's past Snape/Lily, and there's also some Harry/Tonks and a few other minor het ships, though you can happily ignore them if you like. Harry finds out that Snape is his father, and gets drawn into various intrigues and revenge schemes. AU, novel length WIP, nearly finished.
Lion's Mouth, Snake's Bite (R?) by Kat and Tzigane, I think. Pure gen, other than an offhand reference to Narcissa's infidelities. Draco brings home a chimera and Lucius lets him keep it. Cute, without betraying Lucius' Malfoy-ness, and it gets a bit graphic toward the end. One shot.
The Slytherin Study Group series by rabbit and ~v~Jinx~v~. Throwaway ref that may or may not be Snape/Lily; otherwise pure gen. It's a bit off, canon-wise; Lucius is in the same year as MWPP and Snape. But it's a humor fic, so that sort of thing is forgivable. The misadventures of Lucius, Severus, Crabbe, and Goyle in trying to figure out their Transfigurations homework. #2.5 is the detention that they get for #2. Very fluffy, without being sappy. One shots and a chaptered fic. The chaptered fic is a WIP that's probably abandoned.
The 'A Day In the Life Of...' Series (G and PG) by Angela Boyko. Small bits of random shipping, mostly in the Ginny chapter, but mostly gen. An average day for several HP characters, including all three Malfoys, Rita Skeeter, Dobby, and Ginny Weasley. Amusing, especially Dobby's entry. All one shots.
Academic Discourse (T) by there goes my gun. Professor Lupin and Narcissa Malfoy exchange a series of increasingly heated letters about Draco's academic progress. Cute. One shot.
Caesar's Wife (G) by victoria p. Narcissa looks to the future after OotP. Not humorous, but amusing. One shot.
Elsewhere (G?) by afrai. Narcissa watches her son and ponders him. I like afrai's Narcissa. One shot.
just a name (PG) by Ayla Pascal. Narcissa thinks about who she is. Short one shot.
Perfection (PG-13) by Rave Skyy. Post-OotP, Narcissa is bemoaning the loss of her perfect life. Ends up hopeful, believe it or not. One shot.
Sing, Melusina (R) by Ociwen. One mention of wanking, but otherwise pure gen. Draco sits at Spinner's End after HBP and tries to figure out what to do with himself. One shot.
Thyself In Me (PG-13) by Branwyn. Includes the canon marriages of the Black sisters. Caught between two domineering older sisters, Narcissa can never find herself. Thoughtful. One shot.
Winter's Debt (PG-13) by La Guera. Includes references to sex, though it's not shippy. Draco Malfoy remembers what he lost in the War. Gorgeous, gorgeous story. One shot.