Here is the full list of all 21 Quip Anomaly achievements.
Obtained a research item for the first time.
Obtain 5x bonus score from research items.
Obtain 10x bonus score from research items.
Obtain 25x bonus score from research items.
Obtain 50x bonus score. You know the answer to life, the universe, and everything. Too bad you're trapped.
Hit by danre for the first time.
Collide with danre 100 times.
Shocked by a sarxe for the first time.
Shocked by sarxe 25 times.
Struck by kansa for the first time.
Struck by kansa 15 times.
Use shield once.
Use shield 25 times.
Use repulsor once.
Use repulsor 15 times.
Complete all story levels.
Survive for 120 seconds in endless.
Survive for 300 seconds in endless.
Survive for 480 seconds in endless.
Use accelerator once.
Use accelerator 20 times.