If you're not playing with original carts and are serious about SNES RPGs I strongly recommend adding some that were never officially released outside of Japan but have since had fan translations. Here are some I personally enjoyed:
Final Fantasy V
Seiken Densetsu 3 (sequel to Secret of Mana)
Tales of Phantasia (although there are remakes for other systems that are better)
Star Ocean
Live a Live
Rudra no Hihou
Emerald Dragon
Some I didn't complete because I didn't really like them, but may still be worth considering:
Mystic Ark
Bahamut Lagoon
Magic Knight Rayearth
And I bunch I haven't played:
Dragon Quest 4-6 (not really into the series)
Treasure Hunter G
Der Langrisser
Eternal Filena
Dual Orb II (I don't think the first one even has a translation)
Chaos Seed
Daikajuu Monogatari
Galaxy Robo
Burning Heroes
Silva Saga II
Lennus II
And various others... some of these look pretty good but I can't really vouch for anything.
There was also a Sailor Moon SNES RPG (called Another Story) that got a fan translation that I liked enough way back in highschool, but I don't know if I'd actually recommend it now.
And finally, for an SNES RPG that did get an official North American release but no one liked there's Secret of the Stars. I actually thought it was okay, but I was also like 13 when I played it.
If you are playing on an emulator, I would suggest playing the GBA version of the FF games. The additional content in those versions are kind of nice. FF4's bonus dungeon is the best part of it albeit a bit grindy.
I wouldn't do this, the music quality is so much worse. And the graphics have been modified for GBA's lower resolution, over-saturated display.