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