The monsterverse popularly referred to as the godzilla-Kong Cinematic Universe(MV), is an American media franchise and shared fictional universe that is centered on a series of monster films featuring godzilla and king kong, disturbing by Warner Bros and produced by Legendary entertainment in partnership with Toho(for the godzilla films). The fist installment was godzilla(2014), a reboot of the godzilla franchise which was followed by Kong; skull island(2017), a reboot of the King Kong franchise.

Cannon: Movies

Godzilla 2014

Kong skull island

Godzilla king of monsters

Powerverse: Despite only having three films, the monsterverse is a decently strong verse. With powerful titans displaying amazing feats making strongest characters between tier 10 and 6.

Attack potency: Humans have a standard Athletic level physically, and street to building level with weapons. Some humans who can control the titans have a solid tier 6 for using them as weapons. Titans(formerly known as M.U.T.O.s) as ancient species that ruled Earth before the Permian Extinction event. Every species of titans has different domination and respective threat level. Godzilla 2014(and the respective comics) introduced godzilla, the MUTO, and Shinomura(who are currently are at least Country level, as the former is capable of fight King Ghidorah, who created a category VI hurricane just by flight. Both MUTO's and Shinomura are strong enough to battle Godzilla, Kong:Skull island(and the respectively comics) introduced a number of low level titans that range from Street to at least City block level. However since the verse is still fairly recent, it is likely that it will end up significantly growing in power across the following years. Upcoming comics and films such as godzilla vs Kong will introduced plenty of other titans. 

Titans Godzilla series:

Godzilla

Rodan

Mothra

King Ghidorah

Muto Prime

Female Muto

Male Muto

Queen Muto

Dagon

Shinomura

Methuselah

Behemoth

Scylla

Kraken

Mokele-Mibembe

Kong series:

Kong(Legendary)

Kong's Mother

Kong's Father

Skull-crawler

Sker Buffalo

Mire squid

Leafwing

Psychovulture

Mother longlegs

Death jackal

Swamp locust

Spore mantis

Vinestrangler

Prehistoric deer

Magma turtle

Sirenjaw

Giant snake

Carnivous plant

Toho universe:

Series: Showa Era, Heisei era, Millennium era, Monsterverse, Reiwa era, TV shows, comics, manga, books, videogames, crossovers

This verse is very powerful as it has several broken abilities and range widely in power, very often there are characters who are planetary threats, there are also casual planet and solar systems busters. The God tiers of the verse of characters from the shared universes like mothra, who sits comfortably at Low Multiversal level being capable to hurt monsters who are capable of destroying entire timelines with ease and characters like kiryu Eva-01 type, who is powerful enough to rivalize with mechas capable to destroy entire multiverses, setting him and other kaiju on his level at Multiverse level+. However in the Netflix anime trilogy, King Ghidorah(Anime) is 4th dimensional being who mere presence distorts space and time itself, who cannot be killed on the 3-D level and will eventually devour the entire universe if not more as one of the strongest in-verse characters. Godzilla himself has several impressive feats such as battling Thor and the God of thunder comparing him to the world serpent, placing godzilla at Solar System level, also reacting to and shooting a comet carrying Monster X/Kaiser Ghidorah while it was still in space, tanking an absolute zero blast, surviving as nothing but a beating heart, and moving the Earth tectonic plates from the indirect force of Heisei Godzilla and Larva Battra battle. For a thread detailing the power of many beings in the verse.    

Character profile:

Godzilla(original)

Godzilla(Showa)

Godzilla(Heisei)

Godzilla(2000)

Godzilla(Megaguirus)

Godzilla(GMK)

Godzilla(Kiryu saga)

Final wars

Shin

Godzilla Fillus

Earth Godzilla

Snow Godzilla

Godzilla sons:

Minilla

Godzilla Jr.

Divine moths:

Showa

Heisei

Battra

GMK

Kiryu saga

Godzilla final wars

Mothra Leo

Ghidorahs:

Showa

Heisei

Grand King Ghidorah

Desghidorah

GMK

Keizer Ghidorah

Monster planet Trilogy

Shin

Mechagodzilla:

Showa

Heisei

Kiryu

Monster planet trilogy

Rodans:

Showa

Heisei

Millennium

Other Toho Kaiju:

Anguirus

King kong

Oodako

Vampire plant

Meganuion

Varan

Baragon

Sanda

Gaira

Ookondoru

Ebirah

Mecha kong

Sea serpent

Gorosarus

Maguma

Dogora

Gerzora

Kamoebas

Ganimes

Kamacura

Kumonga

Hedorah

Manda

Jet Jaguar

Megalon

Gigan

King Cesar

Titanosaurus

Shockirus

Biollante

Fairy Mothra

Dagahra

Space Godzilla

M.O.G.E.U.R.A

Destroyah

Megaguirus

Orga

Servum

Vulture

Vehicles:

Gotengo

Super X

Super X2

Super X3

Garuda

Land vehicles:

Maser cannon

Hyper laser cannon

MBAW- 93

Villains: 

Rhizon

Karkaro

Controller X

Godzilla Power Hour:

Godzilla(Hanna Barbera)

Godzooky

Firebird

Eartheater

Stone guardian

Megavolt monsters

Colossus

Seaweed Monster

Energy beast

Cyclops Creature

Chimera

Minotaur

Magnetic Monster

Breeder beast

Great Watchuka

Diplodocus

Carnivous plant

Tyrannosaur Rex

Giant squid

Giant fly

Kraken

Axor

Power dragon

Cyborg whale

Giant black widow

Giant venus fly trap

Giant ant

Gravity Goliath

Golden guardian

Giant crab

Giant electric eel

Giant mantle ray

Macro-Beasts

Magma lizards

Godzilla Island:

Godzilla(Godzilla Island)

Hyper Mecha King Ghidorah

Black Mecha godzilla

Space godzilla(Godzilla island)

Proto-Moguera

Doroin

Goroin

Jet Jaguar(Godzilla island)

Jigora

Neo hedorah

Matango

Video games: Super Godzilla

Bagan

Super Godzilla

Atari Saga:

Godzilla(Atari saga)

Obsidius

Krystalak

Sphinx