Here is the full list of all 62 Beat Hazard 2 achievements.
Take Out a 5,000 Kiloton Boss
Successfully Complete a Track
Own a ship made by War Bringer Cartel
Level Up
Take Out a 500 Kiloton Boss
Successfully Complete 5 Tracks
Successfully Complete 20 Tracks
Successfully Complete 50 Tracks
Successfully Complete 75 Tracks
Successfully Complete 100 Tracks
Score over 1,000,000 playing the Beat Hazard 2 theme
Score over 1,000,000 playing Beyond Imagination
Score over 1,000,000 playing Cosmic Voyage
Score over 1,000,000 playing Disturbance
Score over 1,000,000 playing Game Up
Score over 1,000,000 playing Signal Disruption
Score over 1,000,000 playing Split Frequencies
Level Up to Officer 3rd Class
Level Up to Captain
Level Up to Elite Rank
Play for 1 (non Steam) Hour
Play for 2 (non Steam) Hours
Play for 3 (non Steam) Hours
Play for 4 (non Steam) Hours
Play for 5 (non Steam) Hours
Complete a 4+ minute track on Zen difficulty
Win a daily/lightning challenge
Place top 10 in a daily/lightning challenge
Place top 10 in a daily/lightning challenge 5 times
Place top 10 in a daily/lightning challenge 10 times
Own a ship made by Brute Inc
Own a ship made by Mosquito Systems
Own a ship made by Cra$y Thief
Own a ship made by Scorched Earth
Own a ship made by General Industries
Own a ship made by Blazer Labs
Complete 5 tracks using a Brute Inc ship
Complete 5 tracks using a Mosquito Systems ship
Complete 5 tracks using a Cra$y Thief ship
Complete 5 tracks using a Scorched Earth ship
Complete 5 tracks using a General Industries ship
Complete 5 tracks using a Blazer Labs ship
Complete 5 tracks using a War Bringer Cartel ship
Reach Wave 10 in Boss Rush
Reach Wave 20 in Boss Rush
Reach Wave 30 in Boss Rush
Take Out a 10,000 Kiloton Boss
Take Out a 15,000 Kiloton Boss
Blast 100,000 Kilotons of Bosses
Blast 200,000 Kilotons of Bosses
Blast 500,000 Kilotons of Bosses
Blast 1,000,000 Kilotons of Bosses
Complete 1 Shadow Mission
Complete 5 Shadow Mission
Complete 10 Shadow Mission
Complete 25 Shadow Mission
Complete 50 Shadow Mission
Complete all Shadow Missions for the Built in Ships
Complete all Shadow Missions for a Ship
Complete all Shadow Missions for 5 Ships
Complete all Shadow Missions for 10 Ships
Complete all Shadow Missions for 20 Ships