Man, SNES had some of the very best games, ever. Super Mario World (acually, I don't think the princess had a real name until Mario 64), The Legend of Zelda: Link to the Past was my favorite Zelda game I've *ever* played! But you've gotta remember that the last Zelda game I've beat was Zelda 64.

Illusion of Gaia was another one of my most memorable SNES games, although it was kinda unknown. It was the first game I'd played that had character development, and even a romance! Think if you combined Link to the Past with FF6, but a bit more linear.
I'd also rant about FF6, but I only played that as a ROM so it dosen't count (as much).