Long-time SNES gamer here. I could throw a few titles in:
1. Final Fantasy VI: The review I wrote for RVG
summarizes my veneration for this game, a feeling that continues today. To me, FFVI is still fresh and exciting to play; it's timeless, and an essential part of any SNES collector's library.
2. Chrono Trigger: Same as above. Chrono Trigger was, in a way, what happens when two gaming giants (Square and Enix) combine forces. The battle system is innovative and keeps the action interesting, and the storytelling is superb, with plenty of twists to make things interesting.
3. Super Mario World: Mario's debut on the SNES is still as charming and fun to play as ever, with a sound game engine and tight, responsive controls.
4. Donkey Kong Country 2: My personal favorite of the series, DKC2 offered the same platforming perfection as its predecessor but with more imaginative level design and ramped-up difficulty.
5. The Legend of Zelda: A Link to the Past: One of the best Zelda games ever made, ALTTP perfected the concept of the top-down overworld and it arguably hasn't been done any better since. Reaching back to the first Zelda for inspiration, Nintendo wrote Zelda into the annals of history with ALTTP and developed a pattern that would be followed faithfully for years.
Many other games would follow, of course. The SNES library is huge, rich, and diverse, but these are just a small sampling of some of my favorites.