Here is the full list of all 40 Syder Arcade achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Fire 5000 bullets
Get hit 20 times without dying
Get hit 15 times without dying
Get hit 10 times without dying
Absorb 50 bullets with your shields
Absorb 100 bullets with your shields
Absorb 200 bullets with your shields
Complete the campaign at arcade difficulty
Kill 1000 enemies with your special weapons
Survive 5 minutes in survival mode
Survive 10 minutes in survival mode
Survive 15 minutes in survival mode
Play 5 minutes without getting hit
Die in less than 30 seconds
Die in less than 15 seconds
Die in less than 5 seconds
Complete a campaign level without getting hit or sufferig damage
Fire 20000 bullets
Fire 100000 bullets
Complete the campaign with the Mule
Complete the campaign with the Wasp
Be one of the top players in the shield nebula leaderboard
Kill 500 enemies
Kill 1000 enemies
Kill 10000 enemies
Kill 100 enemies in melee combat
Kill 250 enemies in melee combat
Kill 500 enemies in melee combat
Complete a campaign level using a retro filter
Pick up 50 powerups
Pick up 100 powerups
Pick up 500 powerups
Complete the campaign at “pure” difficulty
Complete the campaign with the Dart
Be one of the top players in the campaign leaderboard
Complete the campaign at tourist difficulty
Complete the campaign at young gun difficulty
Be one of the top players in the Frozen Canyon leaderboard
Be one of the top players in the Lighthouse leaderboard
Complete the campaign with the Overseer