Here is the full list of all 51 Livelock trophies - there are 43 bronze, 4 silver, 3 gold and 1 platinum.
Unlock all Trophies
Complete a COOP Mission with 3 players using 3 of the same class
Decrypt all Master Data Cards
Reach level 30 with Hex, Catalyst and Vanguard
Reach Level 30 with Catalyst
Reach Level 30 with Hex
Complete a COOP Mission with 3 players using Hex, Catalyst and Vanguard
Reach Level 30 with Vanguard
Complete a COOP Mission with 3 players.
Complete a COOP Mission on Singular Difficulty without Reprinting
Collect all Catalyst Audiologs
Collect all Audiologs
Reach Level 20 with Catalyst
Reach Level 10 with Catalyst
Collect 2500 Carbon
Complete all missions on Hard
Collect all Vanguard Audiologs
Destroy 10000 enemies
Reach Level 20 with Vanguard
Reach Level 10 with Vanguard
Collect all Story Audiologs
Survive 15 minutes in Survival OP Mission
Survive 10 minutes in Survival OP Mission
Survive 5 minutes in Survival OP Mission
Complete all missions on Medium
Complete all missions on Easy
Complete ACT 03
Destroy 100 Upgraded enemies
Collect all Hex Audiologs
Decrypt all Data Cards
Complete ACT 02
Reach Level 20 with Hex
100 Destruction streak
Complete ACT 01
Reach Level 10 with Hex
Destroy 1000 enemies
Have a Helmet, Cape and Alloy equipped at the same time
Equip first Helmet
Equip first Alloy
Decrypt a Master Data Card
Destroy 10 Upgraded enemies
Collect 500 Carbon
Equip first Cape
30 Destruction streak
20 Destruction streak
Destroy 100 enemies
Collect 100 Carbon
Destroy 1 Upgraded enemy
Collect an Audiolog
5 Destruction streak
Decrypt a Data Card