Here is the full list of all 50 Livelock achievements.
Reach Level 30 with Vanguard
Collect 2500 Carbon
Complete ACT 03
Complete all missions on Easy
Complete all missions on Medium
Destroy 100 Upgraded enemies
Collect all Story Audiologs
Decrypt all Data Cards
Complete ACT 02
Reach Level 20 with Vanguard
100 Destruction streak
Complete ACT 01
Reach Level 10 with Vanguard
Destroy 1000 enemies
Equip first Cape
Have a Helmet, Cape and Alloy equipped at the same time
Destroy 10 Upgraded enemies
Decrypt a Master Data Card
Equip first Alloy
Equip first Helmet
Collect 500 Carbon
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
Reach Level 10 with Hex
Reach Level 20 with Hex
Reach Level 30 with Hex
Reach Level 10 with Catalyst
Reach Level 20 with Catalyst
Reach Level 30 with Catalyst
Reach level 30 with Hex, Catalyst and Vanguard
Decrypt all Master Data Cards
Destroy 10000 enemies
Complete all missions on Hard
Survive 5 minutes in Survival OP Mission
Survive 10 minutes in Survival OP Mission
Survive 30 minutes in Survival OP Mission
Collect all Hex Audiologs
Collect all Vanguard Audiologs
Collect all Catalyst Audiologs
Collect all Audiologs
Complete a COOP Mission on Singular Difficulty without Reprinting
Complete a COOP Mission with 3 players.
Complete a COOP Mission with 3 players using Hex, Catalyst and Vanguard
Complete a COOP Mission with 3 players using 3 of the same class