Here is the full list of all 51 Armored Core: Verdict Day trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Awarded to those who have cleared Story Mission Hardcore Mode (any type).
Awarded to those who have cleared every Story Mission with rank S.
Awarded to those who have been a member of a team ranked A or higher.
Awarded to those who have acquired all AC parts.
Awarded to those who have created a UNAC by customizing its operations.
Awarded to those who have destroyed N-WGIX/v in World Mode.
Awarded to those who have maxed out all grades through UNAC expansion.
Awarded to those who have destroyed Scavenger, Hunter, and Predator in World Mode.
Awarded to those who have customized their territory and uploaded their data to the server.
Awarded to those who have served as operator on an all-UNAC squad and been victorious.
Awarded to those who have destroyed Exusia in World Mode.
Awarded to those who have purchased all defense systems and formations for territory customization.
Awarded to those who have destroyed To-605A, To-605S, and To-605D in World Mode.
Awarded to those who have destroyed Grey Lotus in World Mode.
Awarded to those who have attained a player rank of S.
Awarded to those who have been victorious on a special sortie.
Awarded to those who have been a member of a team ranked E or higher.
Awarded to those who have completed every Story Mission subquest.
Awarded to those who have acquired all emblems/pieces from the shop or enemy ACs.
Awarded to those who have cleared all Story Missions.
Awarded to those who have cleared Story Mission: 10.
Awarded to those who have accepted and successfully completed a contract as a mercenary.
Awarded to those who have accepted a contract as a mercenary and gone on a sortie.
Awarded to those who have cleared Story Mission: 09.
Awarded to those who have cleared Story Mission: 08.
Awarded to those who have served as operator on a squad that includes a UNAC and been victorious.
Awarded to those who have joined a normal or special sortie as an operator and been victorious.
Awarded to those who have gone on a normal or special sortie with four or more players. (Mercenaries or UNACs will count as one player.)
Awarded to those who have gone on a special sortie.
Awarded to those who have earned any medal on a sortie in World Mode.
Awarded to those who have been victorious on a normal sortie.
Awarded to those who have gone on a normal sortie.
Awarded to those who have taken a screenshot.
Awarded to those who have cleared Story Mission: 07.
Awarded to those who have cleared Story Mission: 06.
Awarded to those who have cleared Story Mission: 05.
Awarded to those who have cleared Story Mission: 04.
Awarded to those who have attained a player rank of E or higher.
Awarded to those who have cleared Story Mission: 03.
Awarded to those who have edited an emblem.
Awarded to those who have cleared Story Mission: 02.
Awarded to those who have battled against an AC and destroyed it (any mission type).
Awarded to those who have assembled an AC.
Awarded to those who have cleared Story Mission: 01.
Awarded to those who have colored an AC.
Awarded to those who have joined a team affiliated with one of the Three Forces.
Awarded to those who have viewed the news under Player Information.
Awarded to those who have joined a team.
Awarded to those who have acquired every trophy.
Awarded to those who have destroyed the Spirit Class Moving Fortress in World Mode.
Awarded to those who have destroyed LiV in World Mode.