The Genesis had the faster processor but not the color palette, hardware scaling or symphonious sound chip.
And yet, I can't help but think that some of the Genesis games turned out better than they did on the SNES. Most of the sports games, for example - though some of the later Madden and NBA Live games were very good on SNES, those series always excelled on the Genny, at least in my eyes.
There are LOTS of crossovers. Over 250 of them, in fact (I've attached a list here for your perusal).
If you've played them both, which games work better on Genesis?
3 Ninjas Kick Back
Aaahh!!! Real Monsters
Addams Family, The
Adventures of Batman & Robin, The
Adventures of Mighty Max, The
Adventures of Rocky & Bullwinkle and Friends, The
Aero the Acro-Bat
Aero the Acro-Bat 2
Aerobiz
Aerobiz: Supersonic
Aladdin (Disney's)
Alien 3
American Gladiators
Andre Agassi Tennis
Animaniacs
Art of Fighting
B.O.B.
Ballz 3-D
Barkley: Shut Up and Jam!
Bass Masters Classic
Bass Masters Classic: Pro Edition
Batman Forever
Batman Returns
Beavis & Butthead, MTV's
Best of the Best Championship Karate
Bill Walsh College Football
Bonkers
Boogerman: A Pick and Flick Adventure
Boxing: Legends of the Ring
Bram Stoker's Dracula
Brett Hull Hockey '95
Brutal: Paws of Fury
Bubsy II
Bubsy: Claws Encounters of the Furred Kind
Bulls vs. Blazers and the NBA Playoffs
Cal Ripken Jr. Baseball
Captain America and the Avengers
Champions World Class Soccer
Championship Pool
Chavez II
Chester Cheetah: Too Cool to Fool
Chester Cheetah: Wild Wild Quest
Chuck Rock
Clay Fighter
Cliffhanger
Clue
College Football USA '97: The Road to New Orleans
College Slam
Cool Spot
Cutthroat Island
David Crane's Amazing Tennis
Death and Return of Superman, The
Demolition Man
Desert Strike: Return to the Gulf
Doom Troopers: The Mutant Chronicles
Double Dragon V: The Shadow Falls
Dragon: The Bruce Lee Story
Earthworm Jim
Earthworm Jim 2
ESPN Baseball Tonight
ESPN National Hockey Night
ESPN Speedworld
ESPN Sunday Night NFL
Family Feud
Fatal Fury
Fatal Fury 2
FIFA International Soccer
FIFA Soccer '96
Flashback: The Quest for Identity
Flintstones, The
Foreman For Real Boxing
Frank Thomas Big Hurt Baseball
Frogger
Fun 'n Games
Gemfire
Genghis Khan 2: Clan of the Gray Wolf
George Foreman's KO Boxing
Gods
Great Circus Mystery starring Mickey & Minnie, The
Great Waldo Search, The
Hardball III
Head-On Soccer
Hit The Ice
Home Alone
Home Alone 2: Lost in New York
Hook
Incredible Crash Dummies, The
Incredible Hulk, The
Izzy's Quest for the Olympic Rings
Jammit
Jeopardy!
Jeopardy! Deluxe Edition
Jeopardy! Sports Edition
Joe & Mac
John Madden Football
John Madden Football '93
Judge Dredd
Jungle Book, The (Disney's)
Jungle Strike: The Sequel to Desert Strike
Jurassic Park
Justice League Task Force
Kawasaki Superbike Challenge
King of the Monsters
King of the Monsters 2
Last Action Hero
Lawnmower Man, The
Lemmings
Lemmings 2: The Tribes
Lethal Enforcers
Liberty or Death
Lion King, The (Disney's)
Lost Vikings, The
Madden NFL '94
Madden NFL '95
Madden NFL '96
Madden NFL '97
Madden NFL '98
Mary Shelley's Frankenstein
Math Blaster Episode 1
Mickey Mania: Timeless Adventures of Mickey Mouse
Mickey's Ultimate Challenge
Micro Machines
Mighty Morphin' Power Rangers
Mighty Morphin' Power Rangers: The Movie
Miracle Piano Teaching System, The
MLBPA Baseball
Monopoly
Mortal Kombat
Mortal Kombat 3
Mortal Kombat II
Ms. Pac-Man
NBA All-Star Challenge
NBA Hang Time
NBA Jam
NBA Jam Tournament Edition
NBA Live '95
NBA Live '96
NBA Live '97
NBA Live '98
NCAA Final Four Basketball
NCAA Football
Newman Haas IndyCar featuring Nigel Mansell
NFL Quarterback Club
NFL Quarterback Club '96
NHL '94
NHL '95
NHL '96
NHL '97
NHL '98
NHLPA Hockey '93
Nigel Mansell's World Championship Racing
No Escape
Nobunaga's Ambition
Operation Europe: Path to Victory 1939-45
Out of this World
Outlander
Pac-Attack
Pac-Man 2: The New Adventures
Pagemaster, The
Paperboy 2
PGA Tour '96
PGA Tour Golf
Phantom 2040
Pink Goes to Hollywood
Pinocchio
Pirates of Darkwater
Pitfall: The Mayan Adventure
Pit-Fighter
Populous
Primal Rage
Prince of Persia
Pro Quarterback
PTO: Pacific Theater of Operations
Race Drivin'
Radical Rex
Raiden Trad
Rampart
Revolution X featuring Aerosmith
RoboCop 3
Robocop vs. Terminator
Rock 'n Roll Racing
Roger Clemens' MVP Baseball
Romance of the Three Kingdoms II
Samurai Shodown
Saturday Night Slam Masters
Scooby-Doo Mystery
SeaQuest DSV
Shadowrun
Shanghai II: Dragon's Eye
Shaq-Fu
Side Pocket
Simpsons, The: Bart's Nightmare
Simpsons, The: Krusty's Super Funhouse
Simpsons, The: Virtual Bart
Soldiers of Fortune
Sparkster
Spider-Man
Spider-Man
Spider-Man/Venom: Maximum Carnage
Spider-Man/Venom: Separation Anxiety
Spider-Man/X-Men: Arcade's Revenge
Star Trek Deep Space Nine: Crossroads of Time
Stargate
Steel Talons
Sunset Riders
Super Baseball 2020
Super Battleship
Super Battletank: War in the Gulf
Super High Impact
Super Off-Road
Super Smash TV
Syndicate
T2: The Arcade Game
Taz-Mania
Tecmo Super Baseball
Tecmo Super Bowl
Tecmo Super Bowl II: Special Edition
Tecmo Super Bowl III: Final Edition
Tecmo Super NBA Basketball
Teenage Mutant Ninja Turtles: Tournament Fighters
Terminator, The
Test Drive II: The Duel
Thomas the Tank Engine & Friends
Tick, The
TNN Bass Tournament of Champions
Top Gear 2
Toy Story (Disney's)
Toys
Troy Aikman NFL Football
True Lies
Ultimate Mortal Kombat 3
Uncharted Waters
Uncharted Waters: New Horizons
Urban Strike: The Sequel to Jungle Strike
Warlock
WarpSpeed
Wayne Gretzky and the NHLPA All-Stars
Wayne's World
WeaponLord
We're Back! A Dinosaur's Tale
Wheel of Fortune
Where in the World Is Carmen Sandiego?
Where in Time Is Carmen Sandiego?
Williams Arcade's Greatest Hits
Wolfchild
Wolverine: Adamantium Rage
World Cup USA '94
World Heroes
WWF Raw
WWF Royal Rumble
WWF Super Wrestlemania
WWF WrestleMania: The Arcade Game
Y's III: Wanderers From Y's
Zero: The Kamikazee Squirrel
Zombies Ate My Neighbors
Zool: Ninja of the Nth Dimension
Zoop