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