Here is the full list of all 50 Marvel's Avengers achievements. It takes around 100-120 hours to unlock all of the achievements on Windows.
Open 50 Caches strongboxes
Complete 50 Hive missions
Complete 30 War Zones at Challenge III or higher rating
Rescue 100 AIM prisoners
Reach Power Level 150 with any Hero
Earn a 100% rating for any War Zone at Challenge IV rating
Complete 15 Villain Sectors
Fully upgrade a major artifact
Defeat 10 or more enemies with a single Heroic ability activation
Earn a 100% rating on a mission without any team member being downed
Collect 50 intelligence files
Earn a total of 250 Hero Levels across the entire Hero Roster
Complete an Elite Heroic Hive
Complete five Hive missions
Complete the "Iconic Avengers" mission chain
Complete 100 assignments
Reach Hero Level 5 with five different Heroes
Complete HARM Challenges I to V
Complete the "A Global Offensive" mission chain
Reach Hero Level 50 and purchase all skills for any Hero
Collect 500 gear items
Break into 30 Depots
Equip all Legendary or better gear with any hero
Defeat MODOK and the Kree
Reunite the Avengers
Fully upgrade any gear item
Rescue Captain America
Reach the AIM space station
Complete any mission in under three minutes
Stop the Helicarrier from crashing into New York City
Open 100 strongboxes
Complete 10 assignments
Rescue Inhumans from the research facility
Recruit Black Widow
Reach rank 25 in any faction
Purchase an item from two different faction vendors
Locate the Ant Hill
Defeat any 20 different enemy types
Collect three Artifacts
Destroy the AIM arc reactor
Collect a full comic set
Recruit Tony Stark
Reach a combo of 20 hits or higher
Earn a five star rating on an objective without any team member taking damage
Defeat 50 enemies with Assault Heroic or Ultimate Heroic abilities
Reach the VIP balcony
Escape the clutches of AIM in New Jersey
Discover the location of the Chimera
Recruit Bruce Banner
Recover the SHIELD Protocols