There are quite a few costumes you can unlock in LittleBigPlanet for the PS3. Your costumes from LittleBigPlanet 1 transfer over to LittleBigPlanet 2 as well. Here is the list of costumes you can unlock in the original LittleBigPlanet.
To unlock these, you need to complete the corresponding level without dying.
Chicken Beak – The Dancers Court
Chicken Gloves – Great Magician’s Palace
Chicken Tail – Elephant Temple
Cowboy Bandanna – The Mines
Cowboy Boots – Boom Town
Cowboy Hat – Serpent Shrine
Dinosaur Mask – The Construction Site
Dinosaur Tail – Lowrider
Googly Eye Glasses – Sensei’s Lost Castle
Green Sock Puppet – Subway
Japanese Festival Headband – The Terrible Oni’s Volcano
Japanese Festival Robe – Endurance Dojo
Jeans And Belt – The Mines
Leather Gloves – Boom Town
Monocle – The Meerkat Kingdom
Mustache – Burning Forest
Neon Dress – The Collector’s Lair
Neon Helmet – The Bunker
Pirate Eye Patch – First Steps
Pirate Hat – Skate To Victory
Pirate Hook – First Steps
Pirate Shorts – Get A Grip
Pirate Waistcoat – Get A Grip
Ringmaster Jacket – Swinging Safari
Ringmaster Top Hat – The Meerkat Kingdom
Roman Armor – The Darkness
Roman Helmet – Skulldozer
White Neon Eyes – The Frozen Tundra
Wooden Sword – The Wedding Reception
Yellow Head – The Collector