Dunno what you like so here's choices for every genre
RPG: 7th Saga (and it's JP only sequel Mystic Ark), Terrangima, Live a Live, Chrono Trigger, Final Fantasy IV-VI, Dragon Quest I-VI, Fire Emblem 1-5, Robotrek, Earthbound, Bahamut Lagoon, Lufia II, Breath of Fire I & II, Princess Minerva, Paladin's Quest (aka Lennus), Lennus II (aka Paladin's Quest 2 if it was localised), Shin Megami Tensei 1 & 2 (I don't recommend the infamously sadistic "SMT if" but if you want to play it, knock yourself out), Energy Breaker, Feda: The Emblem of Justice, Kyuuyaku Megami Tensei, Majin Tensei 1 & 2, Dai 3-ji Super Robot Taisen, Super Robot Wars EX, Romancing SaGa 1-3, Rudra no Hihou, Metal Max, Just Breed
Action RPG: Tales of Phantasia, Illusion of Gaia, Secret of Mana (and Seiken Densetsu III), Secret of Evermore, Ultima 3-7, Ys I-V, Mystery Dungeon 2: Shiren the Wanderer, Brain Lord, The Legend of Zelda: A Link to the Past, Magic Knight Rayearth, The Mysterious Murasame Castle, Romancia
Platformer: Equinox, Super Mario All Stars, Super Mario 2, 3, and World, Mega Man 1-7 & Mega Man & Bass, Journey to Silius, Conquest of the Crystal Palace, Umihara Kawase, Kirby's Dream Land 3, Super Valis IV, Super Metroid, Actraiser 1&2, Psycho Dream, Castlevania I-IV and Dracula X, Holy Umbrella, GS Mikami, Hameln no Violin Hiki, Plok!, Treasure Master, Contra I-III (2 is Super C), Donkey Kong Country trilogy, Mega Man X1-3, Run Saber, Parodies franchise, Gradius I-III, Kid Icarus, Gimmick!, Blaster Master, Athena, Ninja Gaiden I-III, Kirby Super Star, Ufouria: The Saga, Valkyrie no Bouken, Monster Party, Minky Momo: Remember Dream
SHMUP: Super Aleste (aka Space Megaforce), Super Earth Defense Force, UN Squadron, Sylvalion, Recca, Thunder Spirits (NES Thunder Force 3), Super R Type, Star Fox (and Star Fox 2 can be emulated for SNES as well), Kaite Tsukutte Dezaemon, BlaZeon, Axelay, R Type III, Chou Aniki, Darius Twin & Force (Force was localized as Super Nova), Cotton 100%, Pocky and Rocky 1 & 2, Gun Nac, Titan Warriors, The Guardian Legend
Puzzle: Puyo Puyo 2, Super Bomberman 1-5, Solstice, Kirby Super Star Stacker, Panel de Pon
Beat em Ups: Kouryuu no Mimi, Renegade, The Ninja Warriors, Rushing Beat (aka Rival Turf, Brawl Brothers, and The Peace Keepers, as they were localised), River City Ransom, Double Dragon franchise, TMNT IV: Turtles in Time, Kunio-tachi no Banka (which got localized as River City Girls Zero decades later on modern platforms)
Horror: Sweet Home, Clock Tower
Racing: F-Zero, HyperZone, Super Mario Kart, Kat's Run
Dating Sim: Tokimeki Memorial
Miscellaneous: Mario Paint, Kirby's Dream Course