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