Here is the full list of all 37 Bright Paw achievements.
Complete Act 9
Find all collectables in "Robotics"
Complete All Collectable Groups
Find all collectables in "Manufacture"
Find all collectables in "Bright Paw"
Find all collectables in "The Killer"
Complete Act 8
Find all collectables in "Underground"
Find all collectables in "Curios"
Complete Act 7
Find all collectables in "Nathaniel"
Find all collectables in "The Family"
Find all collectables in "Research"
Use all of Theo's Powers
Complete Act 6
Find all Security Camera Collectables
Be electrocuted 5 times
Complete Act 5
Find all collectables in "Failsafes"
Be burned to death
Complete Act 4
Complete Act 3
Complete Act 2
Disintegrated by lasers 10 times
Get run over 10 times
Complete Act 1
Complete Level 10 of "The Code"
Complete Level 10 of "Escher"
Complete Level 10 of "Blockout"
Complete Level 10 of "The Subconscious Part 1"
Complete Level 10 of "The Retelling Part 1"
Complete Level 10 of "The Retelling Part 2"
Complete Level 10 of "The Subconscious Part 2"
Complete Level 10 of "Retro"
Complete Level 10 of "The Subconscious Part 3"
Complete Level 10 of "The Temples of Daz"
Complete Bright Paw's Ultimate Challenge!