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