Here is the full list of all 34 Super Time Force Ultra trophies - there are 22 bronze, 6 silver, 5 gold and 1 platinum.
Earn EVERY Trophy in Super Time Force Ultra
Complete Super Hardcore Mode
Complete all HellaDeck Levels
Collect all Glorbs in the game
Defeat Dr. Infinity
Shatter or collect all shards in the game
Complete the Post-Apocalypse time zone
Complete the Medieval time zone
Complete a Medieval level using only Lou Don Jim
Complete a... clean... run of any level using only Squirty Harry
Team up the character from Journey... with the character from Journey
Fire 7 different charged attacks in a single level
Complete any level using at least 6 different members of the Super Time Force
Destroy 4 enemies with a single blast of Sir Galahad's Arc Rifle
Complete the Future City time zone
Complete any level without leaving any saveable team members behind
Defeat a boss using only President of Sony Computer Entertainment Worldwide Studios Shuhei Yoshida
This ones totally a secret but you'll know it when you see it so hustle and look sharp
Kill any enemy by bouncing on its head, plumber-style
Complete any level with 30 seconds remaining on the clock
Complete the Ancient Atlantis time zone
Achieve your first STF rank on any level
Prevent the deaths of 50 members of the Super Time Force
Complete the Prehistoric time zone
Fire 5000 rounds with Jean Rambois' machine gun
Complete 5 HellaDeck levels
Kill 3 enemies with a single charged shot from Aimy McKillin
Get your first Glorb Badge
Beat any level using only Shieldy Blockerson
Use Jef's highly explosive rocket launcher to explode 15 enemies on a single level
Complete the 198X time zone
Get your first Shard badge
Add a new team member to the Super Time Force
Die within 3 seconds of spawning