That last one is a pretty a pretty cool site to look around on, thanks for sharing!
Best I've done on that planarity game is solving a tangle with
90 100 nodes!
I'm still trying to untangle a 100-node mess... Done!
...To make things a bit easier to see, I use this javascript to shrink the circles down a bit:
javascript:var nnnn = document.getElementsByClassName('intersection');for(var i = 0; i < nnnn.length; ++i) {nnnn[i].setAttribute('r', 7);}