Here is the full list of all 47 Ratchet & Clank: Rift Apart trophies - there are 36 bronze, 7 silver, 3 gold and 1 platinum.
Collect All Trophies
Purchase All Weapons
Defeat Doctor and Emperor Nefarious
Find all CraiggerBears
Complete All Glitch Challenges
Acquire the RYNO
Defeat 30 Ejected Nefarious Trooper Heads
Complete a Gold Cup Battleplex Challenge
Break In and Out of Prison
Kill 10 Enemies by Returning Shots with the Void Reactor
Retrieve the Dimensional Map
Get 20 Headshots with the Headhunter
Feed Bubbles
Find the Nefarious Citizens by the Hot Springs
Sink the Mothership on Sargasso
Play Three Songs on Zurkie's Jukebox
Kill Five Grunthors
Hit Every Blizon Crystal on Blizar and Cordelion
Melee Five Frozen Enemies
Set Juice Free
Meet the Fixer
Acquire Phase Quartz
Perform Five Trick Jumps on a Grind Rail
Collect Honey for Chef Tulio
Turn on the TV in Rivet's Hideout
Fully Upgrade a Weapon
Bounce on Big Al, Clank, and Qwark's Parade Balloons
Reach the Archives
Deploy 50 Mr. Fungis
Collect Three Lorbs
Do a Trick Jump While Going at Max Speed with the Hoverboots
Fill a Weapon Wheel
Defeat 30 Enemies While They are Topiary'd
Collect Five Gold Bolts
Acquire and Equip Head, Torso, and Leg Armor
Kill Two Enemies With a Single Ricochet Round
Collect 10 Zurpstones for Trudi
Complete a Battleplex Challenge
Find a CraiggerBear
Defeat the Seekerpede
Get a Weapon to Level Five
Repair a Dimensional Anomaly
Collect a Gold Bolt
Acquire a Piece of Armor
Enter a Hidden Pocket Dimension
Collect a Spybot
Get Separated in Nefarious City