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