For each of the systems you own (or have owned), what was the first game you purchased for that system? Was there any special reason you bought that game first? Games packed with a system (like Mario on the NES or Sonic on the Genesis) can be counted or not, however you like. If you don't remember exactly, take your best guess.
For me, the list is:
NES - I can't recall, but I think one of the Mega Man games.
Super NES - Zelda: A Link to the Past. I bought the system for this game.
Dreamcast - Phantasy Star Online
Genesis - Phantasy Star IV (maybe III)
N64 - Super Mario 64
Game Boy - Metroid II
GB Advance - Golden Sun
GameCube - Zelda Collector's Edition
PlayStation - I'm not really sure, but I think Breath of Fire III
PlayStation 2 - Dark Cloud