Here is the full list of all 24 UFHO2 achievements.
Unlock the Cortex from Cortex Command
Unlock the Hexabot from Blocks That Matter
Get a Gem in your first turn
Unlock all 4 original alien races
Unlock the Commander from Bit.Trip
Unlock the Critters from Super Crate Box
Unlock Gish from the Gish
Unlock Gooo from World of Goo
Unlock all powerups to be used on Rooms
Unlock all powerups to be used on Sector gears
Unlock powerups to be consumed
Unlock all stages in Gooy missions
Unlock all stages in Jeevil missions
Beat all the Easy Situations
Beat all the Medium Situations
Beat all the Hard Situations
Get two Gems in one turn
Use two Gem Teleport in one turn
Enter two Loopholes in one turn
Get 100 total Gems
Get 300 total Gems
Play 30 matches
Play 100 matches
Complete the Story Mode