Here is the full list of all 37 STRAFE trophies - there are 18 bronze, 14 silver, 4 gold and 1 platinum.
Get all trophies
Die 1000 times
Beat STRAFE jumping map
Destroy 100 Paintings
Find 666 secrets
Beat the game without obtaining any additional shields or health
Beat game in under 40 minutes
Beat the game without a primary weapon
Beat the boss using Lil Joby
Get a kill while riding a harvester
Kill 50 Little Joby's
Beat the game with the railgun
Beat Going Home
Beat the game with the machinegun
Beat Gungeon
Beat a level ONLY strafing
Blow up 666 barrels
Beat Rats map
Interact with everything in the bathroom
Fix the Burbs teleporter
Fix the Athena teleporter
Beat Trappy Mine
Beat the game without using teleporters
Beat the game with the shotgun
Beat STRAFE®
Survive Athena
Fix the Black Canyon teleporter
Survive the Burbs
Survive the Black Canyon
Survive Icarus
Beat Luftenstein
Fill the blood bank
Get a reflect kill with wrench
Survive all 10 rooms
Survive to room 5
Play the MURDERZONE
Jump more than 10 times in the tutorial