Here is the full list of all 36 STRAFE achievements.
Survive Icarus
Beat Luftenstein
Beat STRAFE®
Play the MURDERZONE
Survive 5 rooms
Survive the Black Canyon
Survive the Burbs
Survive Athena
Fix the Black Canyon teleporter
Fix the Burbs teleporter
Fix the Athena teleporter
Die 1000 times
Beat game under this time limit 40 mins
Beat the boss using Lil Joby
Beat the game without a primary weapon
Beat the game without obtaining shields
Beat the game without using teleporters
Beat 10 jumps in the tutorial
Beat the game with the machinegun
Beat the game with the shotgun
Beat the game with the railgun
Find 100 secrets
Destroy 100 Paintings
Kill 50 Little Joby's
Get a kill while riding a harvester
Blow up 666 barrels
Beat a level ONLY strafing
Beat the STRAFE jump map
Beat Rats map
Beat Gungeon 3D Blast
Beat Trappy Mine
Beat Going Home
Interact with everything in the bathroom
Get a reflect kill with wrench
Survive all 10 rooms
Get all achievements