I have the same issue :(
Windows phone 8.1 with IE11

Same here, no support for IE 11 on Windows Phone 8.1.
Dragging works initially, but it freezes after dragging past another LI element.

The same problem as @merken noted occurs with Edge on Windows 10 Mobile (Lumia 640), too. The dragging can be continued after the first freeze by touching the ghost element again, but when the dragging is completed, the element will move back to it`s original position.

On the demo page, sorting the list using drag handles does not start to drag at all, instead the whole page starts scrolling. I was able to prevent this in my own app by setting "-ms-touch-action:none; touch-action:none" to the container element.

Same issue here !
It appears that the library doesn't support Pointer Events from Internet Explorer 10 & 11 ! So it doesnt work for theses browsers on touch devices ...

Is anyone knows a solution ??

This is pretty annoying to use it in a production project even if it's a good library !

Thanks,
Best regards.

jquery.fn.sortable.js.tar.gz
You can find here a version of the library (with jQuery compatibility) which works on IE 10 & 11 and Edge on Tablet devices !
Maybe a commit soon !

Enjoy ;)