Here is the full list of all 34 Perpetuum achievements.
Install a new extension
Upgrade an extension
Install a new spark
Reach level 10 with an extension
Create your own corporation
Use a teleport
Insure a robot
Add a friend
Use a spark teleport
Spin the robot 1000 times
Kill an NPC
Send 1 NIC to a developer
Kill 10 NPCs
Kill 100 NPCs
Kill 1000 NPCs
Get killed by an NPC
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 an assignment
Complete 10 assignments
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 squad
Join a corporation
Lose an insured robot