Avengers (Main team with alternates for when certain Avengers are busy, specializes in threats in the world):
Iron Man [War Machine]
Captain America [US Agent]
Thor [Beta Ray Bill]
Black Panther [Shuri]
Captain Marvel
Vision
Scarlet Witch
Quicksilver
Brother Voodoo
Ant-Man (Scott)
Yellowjacket (Hank)
Wasp (Janet)
Wonder Man
Beast
Hawkeye (Clint) [Hawkeye (Kate Bishop)]
Falcon
Namor
She-Hulk
Hyperion (Hickman version)
Black Knight
Jimmy Woo [Amadeus Cho]

New Avengers (the team that specializes in threats in the US):
Luke Cage [Jessica]
Iron Fist
Wolverine
Doctor Strange [Clea]
Spider-Woman (Jessica)
Gargoyle
Goliath (Tom Foster) [Atlas]
Sandman
White Tigers (Ava & Angela)
Thunderstrike (Kevin)
Elsa Bloodstone
Hellstrom
Night Thrasher
Songbird
Mach-X
Speed
Patriot (Eli)

Mighty Avengers (specialty in threats dealing with threats to Earth and exploration and dealing with galactic empires works closely with S.W.O.R.D. and Guardians of the Galaxy):
Blue Marvel
Spectrum
America Chavez
Manifold
Sunspot
Cannonball [Smasher]
Nightmask
Hercules

Secret Avengers (deals with covert operations):
Black Widow [Yelena Belova)
Winter Soldier
Sharon Carter [The Dryad]
Morbius
Ghost Rider [Johnny] [Danny]
Doctor Nemesis
Fantomex
Venom
Moon Knight
Hannibal King
Jennifer Kale
Man-Thing

Uncanny Avengers (specializes in bettering relations between mutants, humans and every other race):
Cyclops
Magneto
Magik
Wolverine (Laura)
Prestige
Black Bolt
Medusa
Andromeda
Synapse
Ikarus
Thena
Ultragirl
Namora
Kro
Hulk