Here is the full list of all 35 Disc Room achievements.
SURVIVE 0 SECONDS OR LESS
WALK 10K STEPS
DIE FROM 4 DIFFERENT DISCS IN ONE LIFE
UNCOVER THE GOLDEN MYSTERY
SURVIVE 20 SECONDS IN EVERY ROOM
EXPLORE ALL ROOMS
EXPLORE ALL ???? ROOMS
QUIT TO MAIN MENU WITHIN 2 SECONDS AFTER DYING
DIE FROM ALL DISCS
FOLLOW THE PATH
DISCOVER THE FOURTH GOLDEN ROOM
SURVIVE 10 SECONDS IN EVERY HARD ROOM
COMPLETE HARD MODE
EXPLORE ALL HARD ROOMS
SURVIVE 20 SECONDS IN ANY HARD ROOM
DEFEAT THE ULTIMATE GATEKEEPER USING EVERY ABILITY
START HARD MODE
DEFEAT THE ULTIMATE GATEKEEPER
???? THE ????
UNLOCK ALL 6 ABILITIES
DISCOVER THE THIRD GOLDEN ROOM
DEFEAT THE PHANTOM GATEKEEPER
DISCOVER THE FIRST GOLDEN ROOM
DISCOVER THE SECOND GOLDEN ROOM
SURVIVE 60 SECONDS IN ANY ROOM
HOLD DOWN FFW FOR 10 SECONDS STRAIGHT
DEFEAT THE CARNIVOROUS GATEKEEPER
FACE THE GOLDEN CARCASS
FEED ???? 4 ????
DEFEAT AND REVIVE AN ANTIBODY
DEFEAT THE OVERGROWN GATEKEEPER
DIE FROM ALL DISCS IN ONE ZONE
SURVIVE 20 SECONDS IN EVERY ROOM IN ONE ZONE
DEFEAT THE ARMORED GATEKEEPER
END A RUN FROM THE MAP