I decided to be that I could accounted a new version, Marvel vs. DC (My Version)
Here are the list order of rivalries.
Spider-Man vs Batman
Thor vs Superman
Angela vs Wonder Woman
Red Guardian vs Guardian
Captain America vs Commander Steel
Wolverine vs Lobo
Hulk vs Solomon Grundy
Black Widow vs Black Canary
Nova vs Green Lantern
Punisher vs Huntress
Gambit vs Tim Drake
Hawkeye vs Green Arrow
Kate Bishop vs Artemis Crock
Mockingbird vs Nightwing
Silver Sable vs Lady Vic
Yelena Belova vs Yasemin Soze
Winter Soldier vs Red Hood
Elektra vs Cheshire
Firestar vs Starfire
Ultron vs Brainiac
Green Goblin vs The Joker
Dr. Octopus vs Lex Luthor
Nobu vs Ra's al Ghul
Banshee vs Silver Banshee
Moonstone vs Star Sapphire
Ronan the Accuser vs Atrocitus
White Rabbit (Lorina Dodson) vs White Rabbit (Jaina Hudson)
Jessica Jones vs Harley Quinn
Purple Man vs Maxwell Lord
Ringmaster vs Mad Hatter
Fixer vs Cyborg
Mr. Negative vs Negative Man
Jigsaw vs Hush
Nico Minoru vs Zatanna
Mr. Fantastic vs Plastic Man
Dr. Strange vs Dr. Fate
Blood Spider vs Black Spider
Spider-Girl vs Donna Troy
Luke Cage vs Black Lightning
Namor vs Aquaman
Storm vs Shazam
Agent Venom vs Blue Beetle
The Lizard vs Cheetah
White Tiger vs Vixen
Deadpool vs Deathstroke
Nighthawk vs Dr. Mid-Nite
Domino vs Jinx
Crossfire vs Deadshot
Magik vs Raven
Icemaster vs Killer Frost
Deathbird vs Talon
Bullseye vs Onomatopoeia
Pyro vs Hotstreak
Scarlet Spider vs Superboy
The Thing vs Cinder Block
Miles Morales vs Static
Spider-Gwen vs Batgirl
Rescue vs Supergirl
Jubilee vs Spoiler
Spider-Woman vs Batwoman
Molly Hernandez vs Galatea
Tigra vs Dr. Death
Stegron vs Killer Croc
Typhoid Mary vs Two-Face
Surge vs Livewire
Sandman vs Clayface
Lady Octopus vs Poison Ivy
Killmonger vs Prometheus
War Machine vs John Stewart
The Destroyer armor vs The Annihilator armor
Thanos vs Doomsday
Juggernaut vs Validus
Crossbones vs Sportsmaster
Mister Hyde vs Bane
Angel vs Silver Swan
Rocket Raccoon vs Ch'p
Wasp vs Bumblebee
Apocalypse vs Mongul
Ant-Man vs The Atom
Scarlet Witch vs Enchantress
Iron Fist vs Mr. Terrific
Arcade vs The Riddler
Marrow vs Shrapnel
Iron Man vs Hourman
Kraven the Hunter vs Catman
Stingray vs Black Manta
Crystal vs Heat Wave
Yo-Yo vs The Flash
Phoenix vs The Spectre
Blizzard vs Mr. Freeze
Emma Frost vs Emerald Empress
Sabretooth vs Lion-Mane
Princess Python vs Cupid
Man-Killer vs Giganta
Mandarin vs Sinestro
Icicle vs Captain Cold
Mr. X vs Victor Zsasz
Sentry vs Damage
Lockjaw vs Dex-Starr
Karnak vs Guy Gardner
Titania vs Mongal
Absorbing Man vs Parasite
Carnage vs Plasmus
The Falcon vs Hawkman
Silk vs Cassandra Cain
The Spot vs Mirror Master
Mr. Fear vs Scarecrow
Madame Masque vs Talia al Ghul
The Swarm vs Queen Bee
Cable vs Booster Gold
Shadowcat vs Ragdoll
Nebula vs Blackfire
Lady Beetle vs Killer Moth
Magneto vs Dr. Polaris
Polaris vs Magneta
The Vulture vs Hawkgirl
Monica Rambeau vs Kimiyo Hoshi
Quake vs Terra
Iceman vs Ice
The Human Torch vs Fire
Red She-Hulk vs Rampage
The Enchantress vs Maxima
Korath the Pursuer vs Devilance the Pursuer
Dr. Minerva vs Dr. Poison
Ares vs Ares
Mastermind vs Dr. Psycho
Ghost Rider (Johnny Blaze) vs Atomic Skull
Lorelei vs Aphrodite
Dr. Doom vs Circe
Loki vs General Zod
Rogue vs Black Alice
Blackheart vs Nekron
Rhino vs Wildebeest
Quicksilver vs Kid Flash
Wolfsbane vs Timber Wolf
Beast vs Mammoth
Captain Marvel [Carol Danvers] vs Power Girl
M.O.D.O.K. vs Zilius Zox
Egghead vs Egg Fu
The Leader vs Hector Hammoad
Mysterio vs Mad Mod
Maximus the Mad vs Gorilla Grodd
Black Bolt vs Black Adam
Ghost [Ava Starr] vs Aviva Metula
Phantom Rider vs Gentleman Ghost
Arnim Zola vs Dr. Sivana
Medusa vs Golden Gilder
Electro (Francine Frye) vs Lightning
Baron Zemo vs Baron Blitzkrieg
Lady Bullseye vs Lady Shiva
The Red Skull vs Black Mask
Tombstone vs Blockbuster
Kingpin vs Tobias Whale
The Thinker vs Gizmo
Yellowjacket vs Firefly
Armor vs Argent
Dazzler vs Halo
Lady Sif vs Artemis of Amazon
Daken vs Aqualad
Titanium Man vs Metallo
Colossus vs Steel [John Henry Irons]
Namora vs Mera
Black Tarantula vs Tarantula
Aurora vs Stargirl
Ms. Marvel [Kamala Khan] vs Cassie Sandsmark
Mystique vs Madame Rouge
Blue Marvel vs Captain Atom
Graviton vs Geo-Force
Magma vs Volcana
Cottonmouth vs Copperhead
Taskmaster vs Nyssa al Ghul
Puma vs Bronze Tiger
Black Panther vs Red Lion
Daredevil vs Wildcat
Madame Hydra/Viper vs Copperhead II
Odin vs Highfather
X-23 vs Scandal Savage
Whirlwind vs Weather Wizard
Red Hulk vs Major Force
Annihilus vs Despero
Shocker vs Electrocutioner
Shuri vs Calculator
Chase Stein vs Toyman
Chameleon vs The Question
Lady Mastermind vs Saturn Girl
Baron Von Strucker vs Hugo Strange
Nick Fury vs Amanda Waller
Sharon Carter vs Lady Blackhawk
Maria Hill vs Renee Montoya
Cloak vs Hawk
Dagger vs Dove
Groot vs Floronic Man
Kaine vs Damian Wayne
The Jackal vs Professor Ivo
Stryfe vs Reverse-Flash
Hobgoblin vs Eclipso
Drax the Destroyer vs Orion
Dormammu vs Queen of Fables
Surtur vs Trigon
The Scorpion vs Hellgrammite
Hammerhead vs Bruno Mannheim
Boomerang vs Captain Boomerang
Black Cat vs Magpie
Hellcat vs Catwoman
Tiger Shark vs King Shark
Swordsman vs Cavalier
Death-Shield vs Tsukuri
Captain Britain vs Shrike
Molten Man vs Tar Pit
Sunspot vs Hot Spot
The Beetle vs Firebug
The Russian vs KGBeast
Proxima Midnight vs Granny Goodness
The Abomination vs Kalibak
Skruge vs Steppenwolf
Corvis Glove vs Kanto
Ebony Maw vs Desaad
Lady Deathstrike vs Mad Marriet
Crimson Dynamo vs Rocket Red
Whiplash vs Lashina
Gorgon vs Stompa
Gamora vs Grail
Ironheart vs Steel [Natasha Irons]
She-Hulk vs Big Barda
Blade vs John Constantine
Silver Surfer vs Martian Manhunter
Misty Knight vs Cyborgirl
Iron Monger vs Black Beetle
Clea vs Nightshade
Hela vs Hades
Sin vs Siren (Hila)
Psylocke vs Manhunter (Kate Spencer)
Satana Hellstrom vs Tala
Omega Red vs Black Hand
Sunfire vs Firestorm
Multiple Man vs Multiplex
Shriek vs Scream Queen
Thundra vs Treasure
Scream vs Godiva
Robbie Reyes vs El Diablo
Daimon Hellstrom vs Etrigan the Demon
Vision vs Red Tornado
Reptil vs Beast Boy
Super-Skrull vs Metamorpho
Trickshot vs Arsenal
Wendigo vs Ultra-Humanite
Silver Samurai vs Katana
Star-Lord vs Adam Strange
Baron Mordo vs Felix Faust
Gorilla-Man vs Monsieur Mallah
Morbius vs Man-Bat
Man-Thing vs Swamp Thing
Moonstar vs Arrowette
Valkyrie vs Antiope
Living Laser vs Dr. Light
Mole Man vs Penguin
Sauron vs Tomar-Re
Hunger vs Mad Monk
Venom/Anti-Venom vs Bizarro
Stunner vs Knockout
Claire Voyant vs Jill Carlyle
Kang the Conqueror vs Chronos
Sentinel vs Manhunter
Wonder Man vs Mr. Miracle
Shuma-Gorath vs Starro
Mephisto vs Neron
Man-Wolf vs Werewolf
Razorback vs Kilowog
Sam Alexander vs Jessica Cruz
Radioactive Man vs Chemo
Elsa Bloodstone vs Plastique
Dr. Druid vs Deadman
Baron Blood vs Brother Blood
Dracula vs Looker
Atumma vs Ocean Master
Nightcrawler vs Creeper
Overdrive vs Gearhead
Werewolf by Night vs Green Lantern/Arkkis Chummuck
Prowler (Aaron Davis) vs Red X
Moon Knight vs Azrael (Michael Lane)
Super Adaptoid vs Amazo
Night Nurse vs Nightmare Nurse
Stature vs Elasti-Girl
Mantis vs Mantis
Sebastian Shaw vs Vandal Savage
Melinda May vs Felicity Smoak
Songbird vs Pied Piper
Avalanche vs Lady Zand
Jester vs Trickster
Part 2: Rivals
Superia vs Aresia
She-Venom vs She-Bat
Omega Sentinel vs Tomorrow Woman
Night Thrasher vs
Cull Obsidian vs
Negasonic Teenage Warhead vs Mary Marvel
Montana vs Jonah Hex
Ox vs Vigilante
Fancy Dan vs Deadline
Silvermane vs Cyborg Superman
Stilt Man vs Kite Man
Callisto vs Ravager
Bob, Agent of Hydra vs
Professor X vs Chief
Moondragon vs Moon Maiden
Iron Maiden vs Ice Maiden
Malekith the Accursed vs
Jagged Bow vs Merlyn The Dark Archer
Slapstick vs Flamingo
Finesse vs
The Owl vs Owlwoman
Executioner vs
Wiccan vs
Beta Ray Bill vs B'wana Beast
Tomi Shishido vs
Hulkling vs
Victorious vs
Ymir vs
Asp vs
Kurse vs
Grey Gargoyle vs
Triton vs Lagoon Boy
Korg vs Blok
Gwenpool vs Animal Man
Atlas vs Atom-Smasher
Hydro-Man vs Tempest
Scorcher vs Black Orchid
Namorita vs Zauriel
Speed Demon vs
Living Mummy vs
Ironclad vs Iron
X-Ray vs Tin
Vapor vs Gold
Vector vs Lead
Bengal vs Ten Eyed Man
Marrina vs Crazy Quilt
Plantman vs Elongated Man
Deacon Frost vs Bloody Mary
Nova [Frankie Raye] vs Bleez
Ulik vs
Forge vs
Corsair vs Spellbinder
Bulldozer vs
Ultimo vs
Lucas Bishop vs
Longshot vs
Warlock vs
Howard the Duck vs The Singalman
Lockheed vs Tasmania Devil
The Hood vs Dr. Occult
Jocasta vs Platinum
Darkhawk vs Phantom Stranger
Diablo vs
Mojo vs Control Freak
Sasquatch vs
Goblin Queen vs
Dragon Man vs
Thunderball vs
Piledriver vs
Wrecker vs Genocide
Darkstar vs Zebra-Man
Starbolt vs
Gladiator vs
Shatterstar vs
Hussar vs Fastback
Ronin vs
Squirrel Girl vs Miss Martian
Toad vs Crimson Fox
Invisible Woman vs
America Chavez vs
Selene Gallio vs Encantadora
Yon-Rogg vs Mystek
Cyclops vs Cyclone
Havok vs The Top
Justice vs Aztek
Speedball vs
Heimdall vs Hera
Mr. Sinister vs Psimon
The Blob vs Orca
Wong vs Dr. Mist
Shang Chi vs
Brawn vs
Fandral vs
Hogun vs
Volstagg vs
Warpath vs
M'Baku vs Gilotina
Jack O'Lantern vs Green Lantern/Kyle Rainer
Alex Wilder vs Rip Hunter
Black Knight vs Shining Knight
Pixie vs Batwing
Fin Fang Foom vs Parallax
Batroc the Leaper vs Cluemaster
Grizzly vs
Adam Warlock vs Lightray
Ancient One vs Madame Xanadu
Yondu vs Larfleeze
Karolina Dean vs Jewelee
Scientist Supreme vs
Okoye vs Faora
Klaw vs Vibe
The Wizard vs Abra Kadabra
Galactus vs Anti-Monitor
Ultimus vs Darkseid
Final Bosses: Chaos King and Anti-Monitor