Here is the full list of all 16 Roofbot achievements.
Complete Chapter 5 and beat the game!
Complete a level with 8 pairs
Chapter 4 - complete levels 61-80
Chapter 3 - complete levels 41-60
Complete a level with 6 pairs
Chapter 2 - complete levels 21-40
Chapter 1 - complete levels 1-20
Complete 15 levels in a row
Complete a level with 4 pairs
Complete 10 levels in a row
Complete 3 levels with alternate paths
Complete 5 levels in a row
Win a level after 10 failed attempts
Complete a level from first try
Complete a level with 2 pairs
Complete tutorial