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