What about proposing a game that's good but relatively unknown/unplayed? As opposed to something everyone knows.
Do you have any suggestions?
I've got an unplayde copy of Galleon sat next to my Xbox, I've heard some good things about that game (I've also heard some other
things) Same goes for Brutal Legend, but I am aware the point of this isn't to recommend games I've not yet gotten around to getting into.
I would also heartily recommend XIII - an FPS I thoroughly enjoyed, despite not being a fan of the genre. It's got a brilliant storyline, and with it being on PS2, GC and Xbox, should be relatively easy (and cheap) to find. It's divided into chapters (well, levels) and while not a huge game, it's not one-playthrough-short either.
If I could find a copy I'd echo Frank's calls for Rocket: Robot on Wheels. If I could find a working N64 Memory Pak I'd also suggest Mystical Ninja Starring Goemon, which was hilarious.