Here is the full list of all 52 Angry Birds Space achievements.
Pig Bang: Get 1 900 000 points
Shoot a bird into a lagrangian point
Defeat the boss of Pig Bang
Find 1 eggsteroid
Pop pig with another pig
Get three stars
Pig Bang: Get three stars in all levels
Defeat the boss of Cold Cuts
Cold Cuts: Get three stars in all levels
Cold Cuts: Get 2 310 000 points
Finish Danger Zone
Danger Zone: Get three stars in all levels
Danger Zone: Get 3 130 000 points
Find 5 eggsteroids
Pop all the bubbles in the credits
Smash 5 000 wooden blocks
Smash 5 000 stone blocks
Smash 5 000 ice blocks
Pop 1 000 pigs
Pop 1 000 bubbles
Smash 50 000 blocks
Smash 500 000 blocks
Get 250 stars
Launch 5 000 birds
Freeze 500 pigs
Freeze 3 pigs with one ice bird
100 birds exit atmosphere
Make 6 pigs scared with one green bird
Pop 100 bubbles in the main menu
Freeze the king pig
Pop 750 popcorns
Defeat the boss of Utopia
Utopia: Get three stars in all levels
Utopia: Get 3 450 000 points
Destroy 100 asteroids
Defeat the boss of Red Planet
Red Planet: Get three stars in all levels
Red Planet: Get 3 450 000 points
Defeat the boss of Pig Dipper
Jump from water 100 times.
Pig Dipper: Get three stars in all levels
Pig Dipper: Get 2 910 000 points
Cosmic Crystals: Get three stars in all levels
Cosmic Crystals: Get 2 810 000 points
Defeat the boss of Cosmic Crystals
Explode 100 crystal planets
Beak Impact Part 1: Get three stars in all levels
Beak Impact Part 1: Get 1 734 480 points
Beak Impact Part 2: Get three stars in all levels
Beak Impact Part 2: Get 1 935 360 points
Brass Hogs: Get 2 780 000 points
Brass Hogs: Get three stars in all levels