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