Here is the full list of all 76 Starazius achievements.
Unlock all the ships in the game
Unlock all the specials in the game
Get the extra reward in the "Collect" bonus 3 times in a single try
Get at least a 60 combo in the "Link" bonus
Get at least an 80 combo in the "Smash" bonus
Get a legendary combo
Upgrade your maximum power capacity for the first time
Upgrade your maximum HP for the first time
Get a Pure Gold medal on any wave
Use your special ability at least 5 times in a single run
Purchase your first item from a shop
Purchase all items from a shop in one visit
Use each special at least once
Use every standard weapon in the game
Upgrade your maximum power capacity at least 8 times in a single run
Upgrade your maximum HP at least 3 times in a single run
Collect at least 30 power rods in a single run
Collect at least 1,000 shards in a single run
Collect a total of 500 power rods
Collect a total of 20,000 shards
Defeat a total of 10,000 enemies
Complete the Let's Go! stage
Complete the Asteroids stage
Complete the Glaciet stage
Complete the Junel stage
Complete the Ariyu stage
Complete the Aquon stage
Complete the Nebula stage
Complete the Solis stage
Complete the Comet stage
Complete the Rust stage
Complete the Cavuno stage
Complete the Battlefield stage
Complete the Luna stage
Complete the The Source stage
Complete a run without dying
Complete a run using the SK1 ship
Complete a run using the HM3D ship
Complete a run using the FR3Y ship
Complete a run using the S7RG ship
Complete a run using the Bomb special ability
Complete a run using the Berserk special ability
Complete a run using the Shield special ability
Complete a run using the Drone special ability
Complete a run using the Slow special ability
Complete a run using the Gold Rush special ability
Defeat the Lucid boss and get a Pure Gold medal
Defeat the Rock Crusher boss and get a Pure Gold medal
Defeat the Aegis boss and get a Pure Gold medal
Defeat the Great Wing boss and get a Pure Gold medal
Defeat the Serpent boss and get a Pure Gold medal
Defeat the Fluid boss and get a Pure Gold medal
Defeat the Long Arm boss and get a Pure Gold medal
Defeat the Totem boss and get a Pure Gold medal
Defeat the Boulder boss and get a Pure Gold medal
Defeat the Triplet boss and get a Pure Gold medal
Defeat the Swarm boss and get a Pure Gold medal
Defeat the Destroyer boss and get a Pure Gold medal
Defeat the Final boss and get a Pure Gold medal
Get a Pure Gold medal overall for the Let's Go! stage
Get a Pure Gold medal overall for the Asteroids stage
Get a Pure Gold medal overall for the Glaciet stage
Get a Pure Gold medal overall for the Junel stage
Get a Pure Gold medal overall for the Ariyu stage
Get a Pure Gold medal overall for the Aquon stage
Get a Pure Gold medal overall for the Nebula stage
Get a Pure Gold medal overall for the Solis stage
Get a Pure Gold medal overall for the Comet stage
Get a Pure Gold medal overall for the Rust stage
Get a Pure Gold medal overall for the Cavuno stage
Get a Pure Gold medal overall for the Battlefield stage
Get a Pure Gold medal overall for the Luna stage
Get a Pure Gold medal overall for the The Source stage
Complete a marathon run without dying
Complete a boss rush run without dying
Complete a run and get a Pure Gold medal overall