Here is the full list of all 63 PhaigeX: Hyperspace Survivors achievements.
Obtain "Arbalest" from the Transportal.
Suffer defeat 10 times.
Destroy 20 Medium-Class ships.
Take no damage for the first minute of a run.
Obtain a ship from the "PIONEER" Ship Pool.
Obtain "Oracle" from the Transportal.
Obtain all 5 ships from the "ORIGIN" Ship Pool.
Unlock 5 modifiers.
Obtain "Mirage" from the Transportal.
Complete Survival mode once.
Obtain "Rave-N" from the Transportal.
Obtain "Pluvia" from the Transportal.
Fire 50000 projectiles from weapons.
Get hit by drone units 500 times.
Obtain "Fortress" from the Transportal.
Obtain "Monarch" from the Transportal.
Obtain "Clusterforce" from the Transportal.
Pick up 30 Requisition Point powerups.
Reach 50% Incursion Rate.
Pick up a Repair powerup 5 times.
Destroy 100000 drone units.
Collect 10 powerup pickups.
Destroy an Anchor-Type unit.
Destroy 3 Light-Class ships.
Destroy 50 homing drones.
Gain 5 levels in a run.
Destroy 100 drone units.
Take damage for the first time.
Start a run.
Start the game for the first time.
Destroy 2 Legion-Type units.
Use 5 rerolls consecutively.
Upgrade the "Projectilizer" Passive to Level 5 in a run.
Destroy a ????
Reach 100% Incursion Rate
Roll 100 times in Transportal
Complete Fleet Assault mode once.
Unlock a 3 star modifier.
Obtain "Sledgenaut" from the Transportal.
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.