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