I would suggest purchasing these games, I just name anything that I have played and enjoyed:
Bust A Move: Dance & Rhythm Action [バスト・ア・ムーブ Dance & Rhythm Action] (PS) = Music game with interesting characters.
Clock Tower [クロックタワー] (SFC) = An interesting horror game with multiple endings.
Dragon Knight 4 [ドラゴンナイト4] (SFC) = Yes, I am aware of this series. But this is a great SRPG.
Game Center CX: Arino's Challenge 2 [ゲームセンターCX 有野の挑戦状2] (DS) = The sequel to Retro Game Challenge.
MOTHER (FC) = Good luck if you can come across this one.
Osu! Tatakae! Ōendan Series [押忍！闘え！応援団] (DS) = Funny music game.
Persona 2 Innocent Sin [ペルソナ2 罪] (PS) = One of my favorite RPGs of all time, the only Persona game not released in America.
Tōhō Series [東方] (PC) = Recommended if you love shooters.
Wonder Project J: Kikai No Shōnen Pīno [ワンダープロジェクトJ 機械の少年ピーノ] (SFC) = An interesting approach to a simulation adventure game.
And because I am such a fan of this series, I would say any game in the pop'n music series [ポップンミュージック] (PS2). It is a rhythm music game played with 9 buttons and lots of great songs. Sorry, had to get that out of my chest.
