Here is the full list of all 72 Arcade Saga achievements.
Defeat 35 sergeants in CubeRT zone
Defeat 75 regular enemies in CubeRT zone
Finish any level that can be failed. [Not a tutorial level]
Destroy every brick in any map before time runs out on any map.
Achieve a level 5 Combo.
Achieve a level 6 Combo.
Achieve a level 7 Combo.
Achieve a level 8 Combo.
Destroy 50 bricks.
Destroy 100 bricks.
Destroy 200 bricks.
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.
Get hit in the head by the ball.
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.
Break 350 bricks.
Break 700 bricks.
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.
Destroy 15 bricks in 2 seconds.
Defeat Raiden.
Score with Bouncy Ball.
Score with 2 balls at once.
Beat an opponent without allowing them to score a goal
Slow 50 balls using the force bubble
Slow 250 balls using the force bubble
Score with 3 balls in quick succession.
Beat CubeRT
Beat JoGlass
Beat Agalag
Beat Raiden
Beat an opponent in [very fast] time
Beat an opponent in [fast] time
Defeat your first opponent
Get a [very large amount] of spin/English in a single match
Score without your opponent touching the ball
Score with a ball that rebounds at least 30 times first
Use a powerup for the first time
Score with a ball after deflecting it 30 times first
Score with the big ball
Score after deflecting off both shields at least 5 times
Destroy 4 missiles with a single ball
Destroy 5 minions with a single ball
Don't use a slow bubble in a round
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