Here is the full list of all 40 Super Chain Crusher Horizon achievements.
Reach Wave 4.
Reach Wave 3.
Reach Wave 2.
Two players defeat a boss by ramming it.
Have 10 bullets on-screen at once in Standard Mode.
Play with the Standard Ship.
Break 1,000,000 points.
Miss with a Max Charge Shot.
Achieve a Max Chain of 50 or more.
Achieve a Max Chain of 40 or more.
Achieve a Max Chain of 30 or more.
Played the Suicide Game.
Defeat two bosses in a single game.
Achieve a Max Chain of 20 or more.
Achieve a Max Chain of 10 or more.
Play Monoshot Game.
Play the game with two players.
Reach Wave 5.
Reach Wave 6.
Reach Wave 7.
Clear Wave 7.
Played the Highspeed Game.
Reached Dist5 in the Suicide Game.
Reached Dist5 in the High-Speed Game.
Get a Game Over from accumulated wreckage.
Clear a wave without firing a single shot.
Both players survive crushing a boss.
Fling wreckage at a boss with your shots.
Play the game 76 times.
Fire 100 Max Charge Shots.
Destroy 10,000 enemies.
Destroy 100,000 enemies.
Destroy 1,000,000 enemies.
Destroy 100 bosses.
Reach Wave 100.
Hit a boss 32 times to achieve this secret bonus.
Achieve the Secret! Bonus twice in a Miniboss Swarm.
Fire 100 shots into a boss.
Listen to all the songs in Music Mode.
Unlock all achievements.