Here is the full list of all 34 Perpetuum achievements.
Complete 10 assignments
Use a spark teleport
Kill 100 NPCs
Install a new spark
Complete an assignment
Get killed by an NPC
Install a new extension
Kill 10 NPCs
Use a teleport
Join a squad
Kill an NPC
Add a friend
Reach level 10 with an extension
Upgrade an extension
Create your own corporation
Insure a robot
Spin the robot 1000 times
Send 1 NIC to a developer
Kill 1000 NPCs
Kill a player
Get 10 PvP kills
Get 100 PvP kills
Get 1000 PvP kills
Get killed by another player
Get killed by other players 10 times
Get killed by other players 100 times
Kill another player on an Alpha island
Complete 100 assignments
Complete 1000 assignments
Enter a terminal on a Beta island
Enter a terminal on a Gamma island
Kill another player with an industrial robot
Join a corporation
Lose an insured robot