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