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