Here is the full list of all 51 NEXT JUMP: Shmup Tactics achievements.
Make 4 or more movement combos
Take damage in an Event
Destroy 3 or more enemies with a single blow, 3 times
Take out multiple enemies using a Explosion!
Fix or Reinforce your ship on a black market
Pick up Scrap during the end of a jump
Finish the basic training
Die 7 jumps or less away from a mothership, on Original Pursuit mode
Destroy 99 or more dragon drones
Clear a jump of enemies 3 times
Make 30 or more Reputation Combos
Complete all upgrades on one ship
Defeat a mothership using the ejection explosion
Unlock the Dagger
Reach 52.000 Reputation in 48 minutes or less in hard difficulty, on Original Pursuit mode
Reach 120.000 Reputation in 32 minutes or less in a New game+
Reach 52.000 Reputation in 48 minutes or less in normal difficulty, on Original Pursuit mode
Defeat a mothership
Have a balance of 3.000 or more scraps on the Ship
Eject the ship in a dangerous situation, with low hull
Equip all the Slots of a ship
Finish a game mode on Hard
Find all the blueprints of the ships
Do a New Game plus with the same pilot
Have a negative balance of scraps at the Bank
Survive a jump without firing a shot
Investigate 16 Unidentified signals
Jump 7 jump points at once and survive
Make 7 jumps without taking any damage
Defeat a mothership killing the Dragon
Unlock the legendary ship, the Knight
Do the famous code, on the right place
Take out multiple enemies using a Explosion, 9 times!
Defeat a mothership without killing the Dragon
Pass Roberta Miranda's score of 75.000 reputation
Destroy 9 enemy drones using Toxic damage
Reach Rank 5
Read the manual
Have a balance of 4.000 or more scraps in the Bank
Defeat the SECOND mothership
Visit 32 space stations
Spend a lot of time upgrading in a space station, causing the dragons to move away
Attend to 16 SOS calls
Unlock the Staff
Think for a while in a Turn
Defeat the THIRD mothership
Clear a jump of enemies on the first turn
Win a Bet on the Reputation Bets mode
Use a weapon that uses scraps without having enough scraps
Complete a run without upgrading at all
Get all the achievements for NEXT JUMP: Shmup Tactics