Shape Shifting: The ability to change your body into another object.  Oolong and Puar can use this, but Oolong can only hold his form for 5 min.
Drunken Boxing (Suiken): This technique was used by Jackie Chun in the 21st World Tournament against Goku.  He staggers around like he's drunk and then hits his opponent while unguarded and confused.  It was referred to as the Mad Cow Technique in the dub.
Mafuba: A unique ki attack that is used to imprison dark spirits.  Once an opponent is caught in the blast, it is directed into a jar or bottle, thus imprisoning the spirit.  If the container is opened the spirit will be freed.  It is extremely draining and can kill the user if not done right.  Master Roshi, Tien, and Kami can use this technique. 
Sleepy Boy Technique (Yoikominminken): Another technique used by Jackie Chun in the 21st World Tournament.  He moves his hands around and speaks in a weird voice to put his opponent to sleep.
Lightning Flash Surprise (Hankokubikkurisho): A finishing move done by Jakie Chun in the 21st World Tournament.  He shoots a blast forward using both hands to trap his opponent in a shocking field of energy from which the opponent can not escape.  He uses it on Goku and Goku only escapes by changing into his oozaru form.
Dodon Ray (Dodonpa): A blast shot from one finger which explodes upon impact.  The most basic Dodonpa is more powerful than the Kamehameha, but the Kamehameha can become more powerful.  Tien and Chiaotzu can use this attack.
Saimin no Jutsu: This is a technique used by Jackie Chun in the 22nd World Tournament.  It can be used to hypnotize an opponent and control their mind.
Hanekaeshi: Tenshinhan uses this technique to redirect a Kamehameha back at the firer.  He uses it against Yamcha.
Machine Gun Tsuki: This technique is used by attacking an opponent quickly punching the opponent's weak points.  The technique is used by Tien.
Konsegan: This is a ki blast shot from your eyes.  Tien shoots it from his third eye.
Telepathy: Tien and Chiaotzu can communicate with their minds.
Barrier: Kami can form a barrier that stops attacks.
Regeneration (Sai-sei): All Nameks can regenerate their limbs.  Nail does this against Freeza.
Namek Fusion (Yuugoh): Two Nameks fuse into one.  Nail and Kami fuse with Piccolo to make him stronger and wiser.
Eyebeam (Kousengan): A beam shot from the eyes.  Kami has performed this attack before.