Here is the full list of all 51 Armored Core V (JP) trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Awarded for getting all trophies.
Awarded for holding one territory in all areas at the same time.
Awarded for completing all Story Missions with Rank S.
Awarded for completing all Story Mission and Order Mission subquests.
Awarded for holding ten different territories at the same time.
Awarded for completing 50% of all Story Mission and Order Mission subquests.
Awarded for destroying Exusia.
Awarded for destroying St Elmo.
Awarded for destroying LLL.
Awarded for leading your team to victory on a Conquest Mission or Territory Mission.
Awarded for destroying Raijin.
Awarded for destroying Type D No. 5.
Awarded for getting all emblems and emblem pieces by buying them at the shop and/or destroying ACs. (Excludes downloadable emblems.)
Awarded for destroying all Zodiac members.
Awarded for claiming victory on a Territory Mission in an emergency state.
Awarded for acquiring territory and placing gun batteries.
Awarded for completing emergency Territory/Conquest Mission w/four or more members, all surviving.
Awarded for claiming victory and taking territory on a Conquest Mission.
Awarded for claiming victory on a Conquest Mission.
Awarded for completing all Order Missions.
Awarded for raising your money to 10 million Au or more.
Awarded for wiping out MoH.
Awarded for completing 30% of all Story Mission and Order Mission subquests.
Awarded for raising the team level of your team to 50 or higher.
Awarded for going on a Conquest Mission.
Awarded for going on a Conquest Mission or Territory Mission with four or more team members.
Awarded for claiming victory on a Territory Mission.
Awarded for going on a Territory Mission.
Awarded for successfully completing a job as a mercenary.
Awarded for accepting and going on a job as a mercenary.
Awarded for setting an AC's coloring in a workshop.
Awarded for completing all Story Missions.
Awarded for completing Story Mission 09.
Awarded for completing Story Mission 08.
Awarded for completing Story Mission 07.
Awarded for completing Story Mission 06.
Awarded for completing Story Mission 05.
Awarded for completing Story Mission 04.
Awarded for completing Story Mission 03.
Awarded for completing Story Mission 02.
Awarded for raising the team level of your team to 10 or higher.
Awarded for completing Story Mission 01.
Awarded for continuing to use an arm unit to maximize its performance.
Awarded for winning a battle against an AC. Any type of mission counts.
Awarded for editing an emblem in a workshop.
Awarded for assembling an AC in a workshop.
Awarded for completing Story Mission 00.
Awarded for completing at least one Order Mission.
Awarded for editing a message from the team member list.
Awarded for joining a team.
Awarded for destroying an enemy with a boost charge. Any type of enemy counts.