Here is the full list of all 40 Gran Vitreous achievements.
Destroy 15,000 Dot Enemies
Destroy 10,000 Line Enemies
Destroy 8,000 Triangle Enemies
Destroy 5,000 Rectangle Enemies
Destroy 6,000 Star Enemies
Deal 5,000,000 total points of damage
Complete an area without dying once
Complete 3 zones in a row without taking a hit
Complete a normal zone within 30 seconds
Fire 50,000 total projectiles
Complete an asteroid zone without using weapons
Complete a zone without firing a main weapon
Finish Area 1 with 3 completed area bonus objectives
Finish Area 2 with 3 completed area bonus objectives
Finish Area 3 with 3 completed area bonus objectives
Finish Area 4 with 3 completed area bonus objectives
Kill at least 30 enemies with 1 secondary missile
Finish an area completing at least 80% of bonus objectives in completed zones
Win a rare item from the area bonus objective item slots
Be out of phase as a solar flare passes through the ship
Use the warp utility to escape a gravity well
Kill 10 enemies while time is frozen
Boost over 39.5 Astronomical Units
Get 50 mine kills in a zone
Avoid taking damage from missiles from the Area 1 Boss
Dont let any enemy waves out of the Area 1 Boss
Dont get hit by an asteroid fighting the Area 2 Boss
Have both turrets down at the same time fighting the Area 2 Boss
Dont crash into a bouncing bomb while fighting the Area 3 Boss
Dont get stuck in the center of a gravity well while fighting the Area 3 Boss
Destroy 10 pieces of the Mother Shape before they can convert into units
Dont get hit by any bullets during the Mother Shapes final phase
Equip all level 105 items
Equip all rare items
Finish an area with 1 type of each item in your inventory
Kill at least 1 of every enemy in the game
1500 enemies killed by asteroids
Get over 30 kills with a single photon bullet
Finish a level 125 zone
Defeat the final boss