Immobile Part I - Level 1.2
This is the one I used, could be others. It's fairly easy, just time your jumps over the red guys carefully and make sure you stay near the bottom to make it through the ones that don't move.

In Motion Part I - Level 1.1
Very easy. You can run either direction I think, I went right. Nothing special about it.

Immobile Part II - N/A
Part II doesn't actually have an Immobile achievement.

In Motion Part II - Level 2.7
Pretty sure this is the only level it's possible on, and it barely is possible. Difficult and annoying. You'll have to run counter-clockwise. It should be smooth sailing for the first bit. If you count the first Circle as #1 then when you get to the inside of Circle #7, when jumping to #8 you have to jump as late as possible to get on to #8. That will give you enough time to run PAST the entry to inside of Circle #8 and do a lap around in time to make it inside as the blobs are switching sides and you enter the spot on your 2nd pass. You should then be able to make it to #9 which can be done normally. Circle #11 is the worst one. You have to go in and do several jumps between the 3 flying things to move yourself over enough so that you aren't aligned with their rotation anymore. You then have to jump to Circle #12 on basically the latest possible pixel. It's extremely tight. You then perform the same as Circle #8 where you run past the entrance for a lap and then go in second time around. Then the final circle you perform normally. Super annoying and if anyone knows of an easier level or better way let me know.

Immobile Part III - Level 3.1
This is the one I used, could be others but not sure. It's not too bad. Be careful not to get too misaligned so you can still enter the ones that don't move. When you are jumping to the ones with the things that swap sides, make sure you jump sort of halfway between the entrances to that circle so your characters align with the entrances as the things are swapping so you can go through. And for the jumping things just wait until it lines up for you to go in as they are jumping over.

In Motion Part III - Level 3.1
This is the level I used, don't think others are possible but not sure. It's easier than Part II in my opinion. I ran clockwise. The only tricky parts are the circle that has the tall guy which you'll have to duck under once when jumping up, and the circles which have the guys who switch sides. You just need to jump to the right area so that they are switching as you run over the zones. Not too bad, just wait for the right jump timings.

This is as far as I've gotten with these achievements so far. I will update it as I find ways to get the rest.