Here is the full list of all 42 BlazBlue: Cross Tag Battle achievements.
[Entrance] Used 100,000P$ at the Item Shop.
[Training] Used the command record, playback function.
Used Resonance Blaze 10 times.
Used a Reversal Action 10 times.
Performed an air dash 10 times.
[Network] Won in a Room Match.
Performed Cross Finish 10 times.
Guarded a high attack 10 times.
[Network] Saw a player's info in Online Lobby
[Network] Won in an Online Lobby match.
Successfully throw break 10 times.
[Network] Used a motion in Online Lobby.
Used Crush Assault 10 times.
[Network] Reached a Silver Rank
Guarded a low attack 10 times.
[Network] Won in a ranked lobby.
Used Distortion Skill.
[Survival] Won more than 5 times.
[Tactics] Cleared one mission.
[VS] Won on normal difficulty.
Performed a Marvelous in Crush Assault 10 times.
[Traning] Opened the command list.
Dealt more than 10000 in combo damage.
Mastered BLAZBLUE CROSS TAG BATTLE.
[Tactics] Cleared Basics section.
[Tactics] Cleared Applied section.
[Tactics] Completed all of one character.
[Episode] Cleared Episode: BB.
[Episode] Saw the Cooperative Ending of Episode: BB.
[Episode] Cleared Episode: P4A.
[Episode] Cleared Episode: UNI.
[Episode] Cleared Episode: RWBY.
[Gallery] Opened an Event CG from Episode Mode.
[Gallery] Played the credits.
[Customize] Changed Plate, Icon, and Title.
[Customize] Changed avatars.
[Network] Used a stamp in Online Lobby.
[Network] Used auto-fill message in Online Lobby.
Generated Reject Guard 10 times.
Performed Distortion Finish 10 times.
Performed Resonance Finish 10 times.
Performed Cross Combo 10 times.