Here is the full list of all 103 One More Roll achievements.
Complete "A calmer part of space"
Complete "Color Therapy 5"
Complete "Color Therapy 4"
Complete "Color Therapy 3"
Complete "Slippery when sparkling"
Complete "Desert Tomb"
Complete "Color Therapy 1"
Complete "Color Therapy 2"
Complete Level 1 - 11
Complete every basic level in World 1 wearing a hat.
Complete "Nothing to see here"
Complete "Below the castle"
Complete every basic level in the game while 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 Level 1 - 12
Complete Level 1 - 13
Complete Level 2 - 11
Complete Level 2 - 12
Complete Level 2 - 13
Complete Level 3 - 11
Complete Level 3 - 12
Complete Level 3 - 13
Complete Level 4 - 11
Complete Level 4 - 12
Complete Level 4 - 13
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.