Final Fantasy: Tactics, Tactics Advance, 9 (never finished to this day), X, X-2, 12 (it's not that old, but it was the last game I purchased and I have yet to finish it)
Pokemon: Red, lost Blue, Yellow, Gold, Crystal, Sapphire was the last cartridge I ever bought, Snap, sold Hey You Pikachu, Stadium 2
Zelda OoT
Evil Zone, Bust a Groove 1 + 2 (borrowed from a cousin but now play on emulator), Soul Caliber 2, Legend of Mana, Spyro 2: Ripto's Rage, Crash Bandicoot Warped (gotta emulate it now, but controls via keyboard is ebdrbcechbdb), Shadow of Destiny, Sims in the City...
In short, I like games where it's more or less open and I can choose what I want to do even if the end result isn't all that different (i.e., I can make my team the way I want, choose the fighter I want, go to this or that world, etc.). Nothing brain numbingly linear where I have no choice in customization.