My favorite type of game is stratige games because there are so many stratiges that you can employ in the games that makes it very replayable.
Final Fantasy Tactics
The game is set in the kingdom of Ivalice during a period of war. The story follows Ramza Beoulve, a young cadet who finds himself thrust into the middle of the conflict. While the war was caused by a conflict of succession, Ramza was exposed to a plot that involved the kingdom's dominant religious organization. Its a tactical game. you can make your own characters and choose what job they are as long as you have the requirements to have that job class. If you move some where you are stuck there. There are no redos on decisions. The games eneimes get as strong as your characters do.
Disgaea 2
Intro-Fifteen years ago, a powerful Overlord by the name of Zenon appeared on Veldime and cursed its human population. Since then, all its inhabitants became demons and were to remain that way if the curse was not broken. However, a young man named Adell was the only human unaffected by the curse. Wanting to save his family and return them back to their true form, Adell decides to defeat Zenon. Adell's mother, a summoner, tries to summon Zenon and failed, and instead summoned Rozalin, Zenon's daughter. They later on go on a quest to go find Zenon and return Rozalin to him, and then defeating him so that the curse would be lifted, and then so his family would be human again.
Its a awsome game with great characters that make this game very replayable. Some people have played this game for 450 hours and the maximum level you can get in this game is 9999.