Here is the full list of all 18 One More Line achievements.
Reach 25
Reach 50
Reach 100
Reach 200
Reach 300
Travel total distance of 200
Travel total distance of 500
Travel total distance of 5000
Travel total distance of 20000
Die 100 times
Die without touching the screen once
Die by going back to zero
Grapple 10 consecutive nodes
Grapple 20 consecutive nodes
Grapple the same node 5 times in one run
Spin around the same node 10 times
Grapple wide enough to spin into both sides of the danger zone
Score 30 without doing a full grapple rotation