Here is the full list of all 50 Suicide Squad: Kill the Justice League achievements.
Steal something useful from the Hall of Justice
Survive the Batman Experience
Recruit your first Support Squad member
Escape plan gone wrong
Recruit your second Support Squad member
Destroy the Behemoth
Kill The Fastest Man Alive
Rescue Lex Luthor
Kill The Green Lantern
Kill The World's Greatest Detective
Kill The Man of Steel
Kill The Collector of Worlds
Complete your first Incursion Mission
Complete an Incursion Mission at Mastery level 5
Complete an Incursion Mission at Mastery level 10
Complete an Incursion Mission at Mastery level 15
Complete an Incursion Mission at Mastery level 20
Complete the final Penguin Support Squad Mission
Complete the final Gizmo Support Squad Mission
Complete the final Poison Ivy Support Squad Mission
Complete the final Rick Flag Support Squad Mission
Complete the final Lex Luthor Support Squad Mission
Complete the final Hack Support Squad Mission
Complete the final Toyman Support Squad Mission
Achieve 13 Stars in Riddler AR Challenges
Achieve 26 Stars in Riddler AR Challenges
Achieve 39 Stars in Riddler AR Challenges
Solve 5 of Riddler's Riddles
Solve 21 of Riddler's Riddles
Collect 10 Riddler Trophies
Collect 40 Riddler Trophies
Reach Level 10 with any Squad Member
Reach Max Level with Harley Quinn
Reach Max Level with King Shark
Reach Max Level with Captain Boomerang
Reach Max Level with Deadshot
Fully complete the Combat Flair checklist 5 times (Single Player Sessions Only)
Reach Squad Level 50
Get Penguin to overhaul a piece of gear
Equip 3 pieces of the Tier 1 Infamy Set
Equip 3 pieces of the Tier 2 Infamy Set
Equip 3 pieces of the Tier 3 Infamy Set
What the hell just happened?
Unlock a Villain Synergy
Get Toyman to Elite a piece of gear
Get Poison Ivy to Supercharge the Affliction on a piece of gear
Complete 50 Support Squad Contracts
Defeat 10 Raising Hell Hit Squads
Complete 100 Support Squad Contracts
Begin the Batman Experience