Here is the full list of all 72 Arcade Saga achievements.
Break 700 bricks.
Defeat 35 sergeants in CubeRT zone
Achieve a level 8 Combo.
Achieve a level 7 Combo.
Achieve a level 6 Combo.
Achieve a level 5 Combo.
Destroy 15 bricks in 2 seconds.
Break 350 bricks.
Destroy every brick in any map before time runs out on any map.
Finish any level that can be failed. [Not a tutorial level]
Destroy 200 bricks.
Slow 250 balls using the force bubble
Score after deflecting off both shields at least 5 times
Destroy 100 bricks.
Beat an opponent in [fast] time
Slow 50 balls using the force bubble
Get hit in the head by the ball.
Destroy 50 bricks.
Beat CubeRT
Get a [very large amount] of spin/English in a single match
Score with Bouncy Ball.
Beat an opponent without allowing them to score a goal
Beat an opponent in [very fast] time
Don't use a slow bubble in a round
Score with 2 balls at once.
Score with the big ball
Defeat your first opponent
Score with a ball that rebounds at least 30 times first
Score with 3 balls in quick succession.
Score without your opponent touching the ball
Defeat 75 regular enemies in CubeRT zone
Don't be hit by any of JoGlass' anti-time blocks.
Defeat CubeRT.
Break 8 special bricks in any level.
Achieve a level 8 combo with the ball never regressing even one combo stage.
Score more points than one of your friends on a level.
Defeat Agalag.
Extend the level by 45 seconds.
Complete the first 2 zones, which means pass exact the CubeRT zone and will get the achievement when player pass the level 2-bonus.
Defeat JoGlass.
Destroy all the Colored Energy Bricks in a level, except the colored energy brick tutorial level.
Achieve a level 6 combo without summoning the ball or rebounding against the energy field.
Achieve a level 8 combo without summoning the ball once.
Defeat Raiden.
Beat JoGlass
Beat Agalag
Beat Raiden
Use a powerup for the first time
Score with a ball after deflecting it 30 times first
Destroy 4 missiles with a single ball
Destroy 5 minions with a single ball
Defeat 75 regular enemies in Agalag zone
Defeat 35 sergeants in Agalag zone
Defeat 75 regular enemies in JoGlass zone
Defeat 35 sergeants in JoGlass zone
Defeat 75 regular enemies in Raiden zone
Defeat 35 sergeants in Raiden zone
Defeat 50 CubeRT mines
Defeat CubeRT without taking damage
Defeat Agalag without taking damage
Defeat JoGlass without taking damage
Defeat Raiden without taking damage
Destroy 5000 enemies
Defeat 24 zones on expert mode
Defeat 24 zones on arcade mode
Defeat 24 zones on fun mode
Defeat any non-CubeRT level in less than 30 seconds
Shoot down 9 targets within 2 seconds
Defeat CubeRT
Defeat Agalag
Defeat JoGlass
Defeat Raiden