Here is the full list of all 18 Nova Strike achievements.
Defeat chapter 1 boss
Discard a weapon
Kill 100 enemies overall
Start the first run
Complete all achievements
Defeat chapter 2 boss
Defeat chapter 3 boss
Complete the game
Die for the first time
Buy the chapter shortcut, available after chapter one
Equip 5 chips or more
Unlock all chip slots
Buy all chips in upgrade shop
Collect 20 weapons in one run
Get perfect dodge bonus by not getting hit in a stage
Kill 1,000 enemies overall
Collect 5,000 coins in one run
Collect 10,000 coins in one run