Here is the full list of all 35 Super Robot Wars V trophies - there are 20 bronze, 10 silver, 4 gold and 1 platinum.
Complete the Game.
Collect all five Emblems.
Purchase all power parts (excluding Recommended Items) from the Factory and increase TAC Customization to Grade 4.
Deal 50,000 damage to a single enemy in one battle.
Unlock all of the power parts (excluding Recommended Items) in the Factory.
With an ally unit sortied in a map, collect all the spirit commands listed in the overall command Search.
Complete a secret scenario.
Acquire one Emblem.
Use spirit commands Valor and Soul simultaneously with any pilot.
View a break time message.
Turn any pilot into a Great Ace.
Activate two simultaneous Extra Actions with any pilot.
Complete a Multi-Action four times in one turn with any unit. (Controlling other units in between is OK.)
Turn any female pilot into an Ace Pilot.
Turn any pilot into an Ace Pilot.
Destroy 10 or more enemy units in a single stage with any ally pilot.
Buy any power parts (excluding Recommended Parts) from the Factory.
Destroy an 1L size or larger enemy unit with an S size or smaller ally unit.
Look at the Factory Scenarios.
Acquire a Custom Bonus for any robot.
Reduce an enemy's HP to a single digit during battle.
Max out any pilot's ExC.
Return attack with a Counterattack weapon five or more times in one stage.
Teach any pilot a Skill Program.
Develop any Skill Program.
Complete Chapter 1.
Obtain all Trophies.
Achieve the ending of both the male and female protagonists.
Obtain 51 SR points. (SR points can only be collected in Standard Mode.)
Turn 30 or more pilots into Ace Pilots.
Earn a Custom Bonus for 30 or more robots.
Create 30 or more types of Skill Programs.
Acquire 20 or more special skills for any pilot.
Perform four support attacks in one turn with any ally pilot.
Turn any enemy pilot's Focus to 50.