Here is the full list of all 17 Firebird - there are Steam version achievements.
Survive for 1 minute
Survive for 5 minutes
Survive for 10 minutes
Complete Stage 1
Complete Stage 2
Complete Stage 3
Complete Stage 4
Complete Stage 5
Complete Stage 6
Complete Stage 7
Destroy the Alien Mothership
Get Trapped in a Tractor Beam
Upgrade your ship by docking with the primary unit.
Upgrade your ship by docking with the secondary unit.
Kill 10 enemies in 10 seconds
Kill 20 enemies in 20 seconds
Kill 30 Enemies in 30 seconds