The first console my family had was an NES, which my sisters and I got for christmas in 1987 with SMB/Duck Hunt, Bugs Bunny's Crazy Castle and The Adventures of Dino Riki.
The first one that was all mine was a Game Boy I got christmas of 93 or 94 (I don't remember which) along with Darkwing Duck, TaleSpin, Wario Land and Super Off Road. They must have stopped packing in Tetris by then because I remember getting that game seperately later.
Mom told me later that she originally got the games as a way of improving my hand-eye coordination (which I guess was important for an autistic kid). I don't know how much it helped, but I sure had a lot of fun.