I am trying to compile all true arcade hits ported over the Super NES. Games such as Final Fight, Street Fighter 2, and so on. I think the Genesis beat out the Super NES in this category because they had a lot of titles there such as After Burner.

Hitting up GameFAQs. (and excluding console-origin games, so no Nintendo Super System games)
Not sure whether to include blatant clones of arcade games (like Cacoma Knight is a cutesy ripoff of Qix), but I decided not to.

Acrobat Mission
Aero Fighters/Sonic Wings
Area 88/UN Squadron
Arkanoid
Blazeon
Bust-A-Move/Puzzle Bobble
Cameltry/On The Ball
Captain America & the Avengers
Captain Commando
Combatribes
Cosmo Gang the Puzzle (maybe Japanese arcade? rebranded Pac-Attack for the west)
Cosmo Gang the Video
Death Brade
Fatal Fury
Fatal Fury 2
Fatal Fury Special
Fighter's History
Final Fight
Frogger
Galaxy Wars
Gokujou Parodius (unsure? I think the third was console-only)
Gradius III
GunForce
Hit the Ice
IREM Skins Game/Major Title
(I'm excluding Joe & Mac as the SNES version was a unique version whereas I think all other ports were based on the arcade game.)
Killer Instinct
King of Dragons
King of the Monsters
King of the Monsters 2
Knights of the Round
Lethal Enforcers
Libble Rabble
Magic Sword
Magical Drop
Magical Drop 2
Mahou Poipoi Poitto!
Midway Presents: Arcade's Greatest Hits: The Atari Collection 1 (Centipede, Asteroids, Tempest, BattleZone, Super Breakout, Missile Command)
Mortal Kombat
Mortal Kombat II
Mortal Kombat 3
Mr. Do!
Ms. Pac-Man
Muscle Bomber/Saturday Night SlamMasters
NBA Give 'n Go
NBA Hang Time
NBA Jam
NBA Jam Tournament Edition
Nichibutsu Arcade Classics (Moon Cresta, Crazy Climber, Frisky Tom)
Nichibutsu Arcade Classics 2 (contains only the original Heiankyo Alien and a remake)
(excluding Ninja Warriors, as it is a sequel whereas the Sega CD version I think was an arcade port)
(unsure if Pac-Man 2 should count as it contains Pac-Man and Ms. Pac-Man ports. This Ms. Pac-Man being a direct port whereas the standalone was a port of Tengen's NES/Genesis remake.)
Parodius (Da!)
Pit-Fighter
Power Instinct
Primal Rage
Race Drivin'
Raiden Densetsu/Raiden Trad
Rampart
Revolution X
Samurai Shodown
Sengoku
(despite the packaging's claim, I don't think Sonic Blastman SNES is an arcade hit. The arcade SBM supposedly was a mechanical game, not video.)
Steel Talons(?)
Street Fighter II
Street Fighter II Turbo
Street Fighter Alpha 2
Strike Gunner STG
Sunset Riders
Super Bomberman Panic Bomber W
Super Buster Bros/Super Pang
Super Off-Road
Super Smash TV
Suzuka 8 Hours
Syvalion
T2: The Arcade Game
Teenage Mutant Ninja/Hero Turtles: Turtles in Time
Ultimate Mortal Kombat 3
Undercover Cops (unlike the GB version that turned it into some weird board game/card battle RPG thing )
Williams' Arcade Greatest Hits (Defender, Defender II, Sinistar, Joust, Robotron)
World Heroes
World Heroes 2
WWF Wrestlemania: The Arcade Game
Super Street Fighter II

Genesis was king in this.

Sunset Riders. Man, I rented that so many times. Other than 4 player being cut (obviously) and some graphical changes it was way closer to the arcade than the Genesis version. I shouldn't even have to mention Turtles In Time because, IMO, the SNES port was WAY better than the arcade version other than the missing 4 player support.

Obviously though in the 16-bit era the Neo Geo held the best versions available for the SNK games.

The biggest shame was the amount of games that never got ported like Vendetta, Violent Storm, Golden Axe Revenge Of Death Adder, or the many licensed games lost in limbo.

yes the genny is king in this (ESPECIALLY with final fight CD on the cdx)...however the audio is so unbearable for many games that i have to turn it off at times and that ruins the experience. the colors are also 8-bit like. the palette is seriously lacking in color depth. thx for the list kingmike. i will check all of these out.

Sunset Riders is the best!

I'm no expert, but I think the closest in arcade quality for the SNES was "Super Street Fighter II". The first "Mortal Kombat" was close, but the censorship wrecked its sales numbers.

I've heard many say that censorship wasn't the only problem with the SNES Mortal Kombat 1.
Supposedly the CPU AI was pretty cheap, making it even harder than the arcade version.
(also why can't you pause the game?
MK3 had a pause function... but you had to enable it through a cheat menu!
When was PAUSING THE GAME considered a CHEAT?)