Here is the full list of all 104 Beat Hazard 3 achievements.
Level Up to Captain
Place top 10 in a daily/lightning challenge
Blast 100,000 Kilotons of Bosses
Successfully Complete 5 Tracks
Level Up to Officer 3rd Class
Take Out a 10,000 Kiloton Boss
Successfully Complete a Track
Level Up
Score over 1,000,000 playing Shock Wave
Take Out a 500 Kiloton Boss
Take Out a 5,000 Kiloton Boss
Successfully Complete 20 Tracks
Successfully Complete 50 Tracks
Successfully Complete 75 Tracks
Successfully Complete 100 Tracks
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
Reach Wave 10 in Boss Rush
Reach Wave 20 in Boss Rush
Reach Wave 30 in Boss Rush
Take Out a 15,000 Kiloton Boss
Blast 200,000 Kilotons of Bosses
Blast 500,000 Kilotons of Bosses
Blast 1,000,000 Kilotons of Bosses
Complete a 4+ minute track on 500% difficulty or higher
Complete a 4+ minute track on 600% difficulty or higher
Complete a 4+ minute track on 700% difficulty or higher
Complete a 4+ minute track on 800% difficulty or higher
Score over 1,000,000 playing the Beat Hazard 3 theme
Score over 1,000,000 playing Beginning Trancemission
Score over 1,000,000 playing Biohacker
Score over 1,000,000 playing Edge Of Space
Score over 1,000,000 playing Fractal Diver
Score over 1,000,000 playing Lethal Trip
Score over 1,000,000 playing Life Line
Score over 1,000,000 playing Ouverture
Score over 1,000,000 playing Stadium Wave
Score over 1,000,000 playing Transmutation
Come 1st, 2nd or 3rd 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
Complete 1 Shadow Mission
Complete 5 Shadow Missions
Complete 10 Shadow Missions
Complete 25 Shadow Missions
Complete 50 Shadow Missions
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
Own a ship made by Brute Inc
Own a ship made by Mosquito Systems
Own a ship made by Cra$y Thief
Own a ship made by Scorched Earth
Own a ship made by General Industries
Own a ship made by Blazer Labs
Own a ship made by War Bringer Cartel
Complete 5 tracks using a Brute Inc ship
Complete 5 tracks using a Mosquito Systems ship
Complete 5 tracks using a Cra$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
Unlock all the Armoury weapons
Fully upgrade all the Armoury weapons
Accumulate 5,000 kills using Cascade Bombs
Accumulate 5,000 kills using Hornet Missiles
Reflect 5,000 missiles or photons using Reflect Shield
Accumulate 5,000 kills using Dracarys
Disable 5,000 ships using EMP blasts
Accumulate 5,000 kills using Crusader Auto Turrets
Accumulate 5,000 kills using Sentinel Drones
Accumulate 5,000 kills using Clean Sweep
Accumulate 5,000 kills using Nemesis
Accumulate 5,000 kills using Viper
Own a ship from the Wraith Empire
Complete 5 tracks using a Wraith ship
Earn a Galaxy Elite ship
Complete 5 tracks using a Galaxy Elite ship
Travel 12 Parsecs (39.12 Light years)
Travel 100,000 Light Years
Visit 5 different galaxies
Capture 25 planets
Collect 25 galaxy artefacts
Fully upgrade your mothership with Galaxy Scan modules
Fully upgrade your mothership with Fold Drive modules
Play a track with a Christmas theme, or play around Christmas day
Play a track with a Halloween theme, or play around Halloween time
Fail a track at 99% complete
Complete a 3+ minute track on 600%+ difficulty without collecting any pickups
Complete 'Never Gonna Give You Up' by Rick Astley
It sounds Disturbingly quiet
It's a pretty Dangerous Zone. Only Guns with Top skills should enter
Complete a 3+ minute track on 600%+ difficulty using only Armoury weapons
Collect 100% of the pickups in a 3+ minute track on 600%+ difficulty
Complete a 3+ minute track on 1000%+ difficulty
Get a score multiplier of 500
Complete the 1 hour Megamix track, or spend an 1.5 hours trying
Complete all of the achievements