Here is the full list of all 33 Super Time Force Ultra achievements.
Complete Super Hardcore Mode
Collect all glorbs in the game
Complete all HellaDeck Levels
Defeat Dr. Infinity
Shatter or collect all shards in the game
Complete the Future City time zone
Complete the Prehistoric time zone
Complete the Post-Apocalypse time zone
Complete the Ancient Atlantis time zone
Complete a... clean... run of any level using only Squirty Harry
Toss and shoot 100 of Zoey's propane tanks to asplode them!
Use Saxton Hale to punch 100 enemies right in their stupid faces
Complete the Medieval time zone
Kill any enemy by bouncing on its head, plumber-style
Burn up a whole level and complete it using only Pyro
Fire 5000 rounds with Jean Rambois' machine gun
Complete 5 HellaDeck levels
Prevent the deaths of 50 members of the Super Time Force
Fire 7 different charged attacks in a single level
Complete any level using at least 6 different members of the Super Time Force
Complete a Medieval level using only Lou Don Jim
Use Jef's highly explosive rocket launcher to explode 15 enemies on a single level
Beat any level using only Shieldy Blockerson
Complete any level without leaving any saveable team members behind
Complete the 198X time zone
Achieve your first STF rank on any level
Get your first Glorb Badge
Kill 3 enemies with a single charged shot from Aimy McKillin
Complete any level with 30 seconds remaining on the clock
Get your first Shard badge
This ones totally a secret but you'll know it when you see it so hustle and look sharp
Add a new team member to the Super Time Force
Die within 3 seconds of spawning