Congrats and welcome to the SNES world.
My recommendations (the SNES is my favorite system of all-time, so excuse the lengthy list):
Super Metroid
Super Mario World
Super Mario All-Stars
Yoshi's Island
Donkey Kong Country 3
Tetris Attack
Tetris & Dr. Mario
Rock N' Roll Racing
F-Zero
Space Megaforce
Super R-Type
R-Type III
Gradius III
Firepower 2000
Stunt Race FX
Biker Mice From Mars
Chrono Trigger
Secret Of Evermore
Earthbound
Spanky's Quest
TMNT IV: Turtles In Time
Actraiser
The Legend Of Zelda: A Link To The Past
Claymates
Cacoma Knight In Bizyland (Qix clone)
Wario's Woods
SimCity
NBA Jam
Contra III
Kirby Super Star
Kirby's Dream Land 3