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