Here is the full list of all 103 One More Roll achievements.
Complete "Below the castle"
Complete every basic level in the game while wearing a hat.
Complete every basic level in World 1 wearing a hat.
Achieve a Gold Time in every basic level of World 1.
Achieve a Gold Hat Time in every basic level of World 1.
Complete every basic level in World 2 wearing a hat.
Achieve a Gold Time in every basic level of World 2.
Achieve a Gold Hat Time in every basic level of World 2.
Complete every basic level in World 3 wearing a hat.
Achieve a Gold Time in every basic level of World 3.
Achieve a Gold Hat Time in every basic level of World 3.
Complete every basic level in World 4 wearing a hat.
Achieve a Gold Time in every basic level of World 4.
Achieve a Gold Hat Time in every basic level of World 4.
Complete every basic level in World 5 wearing a hat.
Achieve a Gold Time in every basic level of World 5.
Achieve a Gold Hat Time in every basic level of World 5.
Complete Level 1 - 1
Complete Level 1 - 2
Complete Level 1 - 3
Complete Level 1 - 4
Complete Level 1 - 5
Complete Level 1 - 6
Complete Level 1 - 7
Complete Level 1 - 8
Complete Level 1 - 9
Complete Level 1 - 10
Complete Level 2 - 1
Complete Level 2 - 2
Complete Level 2 - 3
Complete Level 2 - 4
Complete Level 2 - 5
Complete Level 2 - 6
Complete Level 2 - 7
Complete Level 2 - 8
Complete Level 2 - 9
Complete Level 3 - 1
Complete Level 3 - 2
Complete Level 3 - 3
Complete Level 3 - 4
Complete Level 3 - 5
Complete Level 3 - 6
Complete Level 3 - 7
Complete Level 3 - 8
Complete Level 3 - 9
Complete Level 3 - 10
Complete Level 2 - 10
Complete Level 4 - 1
Complete Level 4 - 2
Complete Level 4 - 3
Complete Level 4 - 4
Complete Level 4 - 5
Complete 3 - 16 "Gravity Collect"
Complete Level 4 - 6
Complete 3 - 17 "Pipedream"
Complete Level 4 - 7
Complete 3 - 18 "Gravity Challenge"
Complete Level 4 - 8
Complete Level 4 - 9
Complete Level 4 - 10
Complete Level 5 - 1
Complete Level 5 - 2
Complete Level 5 - 3
Complete Level 5 - 4
Complete Level 5 - 5
Complete Level 5 - 6
Complete Level 5 - 7
Complete Level 5 - 8
Complete Level 5 - 9
Complete Level 5 - 10
Complete "Nothing to see here"
Complete "Color Therapy 1"
Complete Level 1 - 11
Complete Level 1 - 12
Complete Level 1 - 13
Complete "Slippery when sparkling"
Complete "Color Therapy 2"
Complete Level 2 - 11
Complete Level 2 - 12
Complete Level 2 - 13
Complete "Color Therapy 3"
Complete Level 3 - 11
Complete Level 3 - 12
Complete Level 3 - 13
Complete "Desert Tomb"
Complete "Color Therapy 4"
Complete Level 4 - 11
Complete Level 4 - 12
Complete Level 4 - 13
Complete "A calmer part of space"
Complete "Color Therapy 5"
Complete Level 5 - 11
Complete Level 5 - 12
Complete Level 5 - 13
Complete every basic level in world 1.
Complete every basic level in world 2.
Complete every basic level in world 3.
Complete every basic level in world 4.
Complete every basic level in world 5.
Complete every basic level in world 6.
Complete every basic level in World 6 wearing a hat.
Achieve a Gold Time in every basic level of World 6.
Achieve a Gold Hat Time in every basic level of World 6.