Here is the full list of all 63 PhaigeX: Hyperspace Survivors achievements.
Take damage for the first time.
Destroy 100 drone units.
Gain 5 levels in a run.
Destroy 3 Light-Class ships.
Reach 50% Incursion Rate.
Suffer defeat 10 times.
Get hit by drone units 500 times.
Destroy 2 Legion-Type units.
Destroy 50 homing drones.
Fire 50000 projectiles from weapons.
Take no damage for the first minute of a run.
Use 5 rerolls consecutively.
Collect 10 powerup pickups.
Destroy 20 Medium-Class ships.
Destroy 100000 drone units.
Pick up 30 Requisition Point powerups.
Upgrade the "Projectilizer" Passive to Level 5 in a run.
Start a run.
Destroy an Anchor-Type unit.
Pick up a Repair powerup 5 times.
Start the game for the first time.
Obtain "Clusterforce" from the Transportal.
Obtain "Monarch" from the Transportal.
Obtain "Fortress" from the Transportal.
Obtain "Mirage" from the Transportal.
Obtain all 5 ships from the "ORIGIN" Ship Pool.
Destroy a ????
Reach 100% Incursion Rate
Roll 100 times in Transportal
Unlock 5 modifiers.
Complete Fleet Assault mode once.
Complete Survival mode once.
Unlock a 3 star modifier.
Obtain "Pluvia" from the Transportal.
Obtain "Arbalest" from the Transportal.
Obtain "Rave-N" from the Transportal.
Obtain "Sledgenaut" from the Transportal.
Obtain "Oracle" from the Transportal.
Obtain a ship from the "PIONEER" Ship Pool.
Obtain all 5 ships from the "PIONEER" Ship Pool.
Finish Demolition mode with Comet
Finish Demolition mode with Cluster Force
Finish Demolition mode with Monarch
Finish Demolition mode with Fortress
Finish Demolition mode with Mirage
Finish Demolition mode with Pluvia
Finish Demolition mode with Arbalest
Finish Demolition mode with Rave-N
Finish Demolition mode with Sledgenaut
Finish Demolition mode with Oracle
Complete Demolition Mode once.
Destroy 2 Avenger-Type units.
Destroy 10 ships with Clusterforce's Energy Cluster.
Destroy 10 ships with Arbalest in Breach Mode.
Destroy 5 Warden-Type units.
Have Pluvia tag 18 lock-ons in one attack.
Destroy 5 Phantasm-Type units.
Destroy 2 Banshee-Type units.
Have Oracle control 3 enemy ships at the same time.
Destroy 10 Energy Cores in Demolition Mode.
Destroy 10 ships with Monarch's Drone Assault.
Have Rave-N's 3 Diffraction Prisms fire raves at the same time.
Destroy 10 Ships with Sledgenaut's ramming attack.