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