Super Mario Bros. 2 for the SNES. I had no idea that it was a remake of a NES game and that apparently I'm supposed to hate it for being a palette swap of another Japanese game. It was my favorite of the original 3 Mario games for it being so off-the-wall with the Phantom faces that chased after you with the key and scaring the crap outta me as a kid, then with that weird dog that shoots eggs & sometimes fireballs outta its mouth, and the eagle that eats you at the end of the stage, and bomb-throwing mouse in that boss stage made out of Lego's, and the bird riding on a magic carpet. It's a very weird game, and I love it.
NFL Blitz, for the N64. I don't know how others feel about this game, whether they liked it or not, but my big bro and I played the crap outta this one. All the wacky tackles, throws, taunts, etc. just made the game a blast.
Spirit Tracks. I don't know why people don't like this game, it's my 4th favorite Zelda game. I love the trains, the challenging dungeon design, the trains, the technological look to everything, the music, the trains, the character development & particularly Zelda's development, and did I mention how awesome the trains were?