Here is the full list of all 25 Rym 9000 achievements.
Kill all Popcorns in Area 1
Kill all Spirals in Area 1
Kill all enemies in the first half of Area 1
Don't receive any damage from any of the Bombers
Don't receive any damage from Area 1's Boss
Kill all Popcorns in Area 2
Kill all Detonating Shooters in Area 2
Kill all 3 Rangers in Area 2 with x3 Multipliers
Don't get trapped inside a Ringer in Area 2
Spend no more than 10 seconds in the 2nd phase of Area 2's Boss
Don't receive any damage from Area 2's Boss
Kill all Popcorns in Area 3
Kill all Targeters in Area 3
Don't receive any damage from Area 3's Boss
Kill all Popcorns in Area 4
Kill all 3 Crushers in Area 4 with x3 Multipliers
Don't touch the screen borders in Area 4
Don't receive any damage from Area 4's Boss
Finish the game
Don't receive any damage from Area 5's Boss
Absorb all 8 Gunner powerups in one run
Finish the game with the default Gunner (absorb no powerups)
Fail at loading Elites Log
Crash the game
Unlock all Log Entries