Here is the full list of all 115 sphereFACE achievements.
Pick up a flameTHROWER
View the inventory
Clear a sphere after you've died
Destroy a Hive
Kill a powerup
Kill a Fighter
Find a ship's log
Kill a red ship
Kill a Scout
Complete a sphere in under 60 seconds
Complete a sphere in under 30 seconds
Leave the first sphere
Pick up spreadGUN
Collect ablativeARMOUR
Launch the game in Linux or SteamOS
Pick up a beamLASER
Pick up a flakCANNON
Pick up a gaussRIFLE
Pick up spaceMINES
Pick up a pulseLASER
Pick up railGUN
Pick up guidedROCKETS
Pick up singularityCANNON
Pick up speedspreadGUN
Complete the game
Collect reverse thruster
Upgrade beamLASER to level 5
Upgrade flakCANNON to level 5
Upgrade flameTHROWER to level 5
Upgrade gaussRIFLE to level 5
Upgrade spaceMINES to level 5
Upgrade pulseLASER to level 5
Upgrade railGUN to level 5
Upgrade guidedROCKETS to level 5
Upgrade singularityCANNON to level 5
Upgrade speedspreadGUN to level 5
Upgrade spreadGUN to level 5
Upgrade beamLASER to level 10
Upgrade flakCANNON to level 10
Upgrade flameTHROWER to level 10
Upgrade gaussRIFLE to level 10
Upgrade spaceMINES to level 10
Upgrade railGUN to level 10
Upgrade guidedROCKETS to level 10
Upgrade singularityCANNON to level 10
Upgrade speedspreadGUN to level 10
Upgrade spreadGUN to level 10
Upgrade beamLASER to level 30
Upgrade flakCANNON to level 30
Upgrade flameTHROWER to level 30
Upgrade gaussRIFLE to level 30
Upgrade spaceMINES to level 30
Upgrade pulseLASER to level 30
Upgrade railGUN to level 30
Upgrade guidedROCKETS to level 30
Upgrade singularityCANNON to level 30
Upgrade speedspreadGUN to level 30
Upgrade spreadGUN to level 30
Have five upgraded weapons in your inventory
Kill 30 powerups
Collect 12 weapons
Kill a Swarm
Destroy the blade on a Sawblade
Kill a Sawblade in one shot
Kill the defenceless core of a Sawblade
Leave an unarmed Sawblade intact in a completed sphere
Self-destruct upon reaching your goal
Self-destruct
Read 5 ships' logs
Read 16 ships' logs
Enter a bonesphere
View the event log
View the sphere menu
Enter ten high scores
Reach the bottom of the sphereSPACE maze
Discover the origin of the disturbance that woke you
Jettison a weapon
Get a high score over 1000
Get a high score over 5000
Get a high score over 9000
Get a high score over 20000
Complete the game without ever taking damage
Die five times without advancing past the first sphere
Die without any of your shots hitting anything
Go really fast
Start the game with a modified theme
Clear 5 spheres
Clear 10 spheres
Clear 20 spheres
Clear 30 spheres
Reach over 100% accuracy
Clear a sphere without firing a shot
Clear a sphere in one shot
Go through a tunnel that leads upwards
Complete a sphere in under 10 seconds
Die in a sphere you've already cleared
Die in the Carrier's sphere without defeating the carrier
Die after defeating the Carrier in the Carrier's sphere
Die in the Bonesphere
Leave the first sphere with no armour
Get to a certain depth without ever having collected a primary weapon
Kill 10 red ships
Kill 50 red ships
Kill 100 red ships
Kill 10 red ships in a single sphere
Destroy over 73 yottagrams of planetary matter
Destroy over 330 yottagrams of planetary matter
Destroy over 640 yottagrams of planetary matter
Destroy over 4867 yottagrams of planetary matter
Destroy over 5972 yottagrams of planetary matter
Destroy over 7500 yottagrams of planetary matter
Upgrade pulseLASER to level 10
Read the "Help" information.
It's okay - we all do it sometimes.
Complete the game without save-scumming.