Here is the full list of all 16 The Escaper achievements.
Escape from the first room
Escape from the second room
Escape from the third room
Escape from the fourth room
Escape room 1 in less than 15 minutes
Escape room 1 in less than 30 minutes
Escape room 2 in less than 15 minutes
Escape room 2 in less than 30 minutes
Escape room 3 in less than 15 minutes
Escape room 3 in less than 30 minutes
Escape room 4 in less than 15 minutes
Escape room 4 in less than 30 minutes
Dial 911
Score 10/10 in the IQ test
Hit the center of the dartboard
Score 200 points in Highway Run