Here is the full list of all 41 New Gundam Breaker achievements.
Clear a mission with Rank S
Clear a quest to destroy a Perfect Grade
Use an EX Skill from a part you exchanged during a mission
Exchange parts during a mission (except during tutorial)
Complete All Achievements
Clear all of Yui’s missions
Clear all of Iori’s missions
Clear all of Ryoko’s missions
Clear all of Marika’s missions
Clear all of Chinatsu’s missions
Clear all of Shion’s missions
Clear all of Recoco’s missions
Clear all bonus missions
Clear 10 missions with Rank S
Clear 30 missions with Rank S
Acquire 500 parts
Acquire 50 Melee Weapon parts
Acquire 50 Ranged Weapon parts
Acquire 20 Head parts
Acquire 20 Body parts
Acquire 20 Arm parts
Acquire 20 Leg parts
Acquire 20 Backpack parts
Acquire 30 Shield parts
Finish a complete MS part set
Finish 10 complete MS part sets
Finish 30 complete MS part sets
Learn 5 Striker Frame abilities
Learn 5 Gunner Frame abilities
Learn 5 Enchanter Frame abilities
Learn 5 Searcher Frame abilities
Learn 5 Balance Frame abilities
Use the Cube to Recover a part you stole during a mission
Clear a quest to destroy a Mobile Armor
Clear a quest to destroy a Warship
Play a Quick Match
Form a team/room and play a Multiplayer match
Join a team/room and play a Multiplayer match
Win a Network Battle
Get 1st Place in a Multiplayer match
Acquire 5 Builders parts