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