On console (not classed):
GT : I just didnt like car game before this one
FFVII : my first RPG
deep character/world/story
cinematic ...
RE2 : my first RE...
Silent Hill : my first real horror game
On PC :
Warcraft3 : I have played a lot to this game, it is Blizzard ...
On Amiga :
Syndicat : only played fews hour in fact years ago ( until recently), fucking flametrower and missile launcher, I loved the music,
Powermonger : RTS ancestor with Populous,
Cadaver : my first RPG in fact, it scaried me a lot ...
Agony : shoot them up with beautifull graphism/artistic style/music
Another world : u mix Flashback + prince of persia : maybe the first "cinematic game" : it is like U are the main character, U are in a real story, lot of "feeling" in.
Time to Work !