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