Super R-Type
Darius Twin
Super Chase H.Q.
Gradius 3
R-Type 3
Super Smash TV
Super Mario World
Zelda 3
Run Saber
Super Metroid
Super Castlevania 4
Dracula X
Super Star Wars (+ Empire Strikes Back and Return of Jedi)
Star Fox
Contra 3
Pilotwings
Killer Instinct
Out of This World
Super Turrican
Super Turrican 2
Parodius (all 3 released on the system)
The Legend of Zelda: A Link to the Past
Mortal Kombat 2
Mortal Kombat 3
Ninja Gaiden Trilogy
U.N. Squadron
Wild Guns
Operation Thunderbolt
Actraiser
Chronotrigger
Final Fight (JP version uncensored)
Saturday Night Slam Masters
Bust-a-Move
Captain Commando
Super Fire Pro X
Blackthorne
Cybernator
Knights of the Round
Super Mario All-Stars
Flashback
Super Double Dragon
Front Mission Gun Hazard
The King of Dragons
Kirby's Dream Land 3
The Combatribes
Skyblazer
Magic Sword
Joe & Mac 1
Joe & Mac 2
F-Zero
Demon's Crest
Super Ghouls'n Ghost
TMNT Turtles in Time
Smash TV
Batman Returns
Super Chase H.Q.
TMNT Tournament Fighters
Battletoads in Battlemaniacs
World Heroes
Super Punch-Out
Arkanoid: Doh It Again
Street Fighter Alpha 2 (no worse a port then any other SF port on Snes, best looking SF on the system)
Hagane
Nosferatu
Yoshi's Island
Super Mario RPG
DKC
Aero Fighters
Honestly I could keep going, but you get the point. I honestly could not just pick 5 games. There are way too many on the system of high quality to just limit yourself to just five.