Here is the full list of all 44 Stormrise trophies - there are 33 bronze, 7 silver, 3 gold and 1 platinum.
This is the platinum trophy and is unlocked automatically when all the trophies have been unlocked
Destroy 55 Control Nodes with the Demo Bomb ability
Use all unit abilities at least once
Beat the AI on all Skirmish maps
Recruit one of every unit type in any game mode
Complete Story Mode on Hard
Complete Story Mode on Easy or Normal
Recalibrate the airfield station in Mission 12: Natural Justice
Secure the AA Turrets in Mission 11: Hot Pursuit
Rescue Eona in Mission 10: Prison Break
Defeat Sable in Mission 9: Shock Verdict
Complete Act 2 of Story Mode
Secure all 3 power junctions in Mission 8: Reasonable Doubt
Destroy 9 Eclipses
Secure all 3 bridges in Mission 7: Unfair Surprise
Rescue Vantage in Mission 6: Innocent Victim
Take out the Arc-Hammers in Mission 5: Self Defense
Complete Act 1 of Story Mode
Defeat the Hydra in Mission 4: Multiple Counts
Win 99 ranked matches
Attack 24 cloaked Spectres while using the Infiltrator's Thermal Vision
Use the Matriarch's Acid Rain ability
Destroy an enemy unit with one you have Mind-Controlled
Use the playbook to switch weapons
Destroy 27 Stalkers
Destroy 77 units using the Stalker's SAMs
Kill 80 Broodlings
Win 10 ranked matches fully equipped
Win 8 ranked matches with each faction
Play 16 ranked matches
Use the Rage Smash ability
Win 6 consecutive ranked matches
Use the Spectre's Rapid Slice ability to kill an enemy commander (multiplayer or skirmish)
Win a ranked match in under 10 minutes
Upgrade a Control Node to have level 3 turrets (multiplayer or skirmish)
Destroy 11 enemy units in the first 5 minutes of a ranked match
Lose a multiplayer match while the deployment queue is open
Destroy 500 units
Establish a portal in Mission 3: Double Jeopardy
Secure the Control Node powering the turrets in Mission 2: Assault Charge
Complete Mission 1: Domestic Disturbance
Complete the Tutorial
Destroy all hiding Sai insurgents in the Tutorial
Whip 250 times during any map or match