What can I do about pocket doors that are blocked by floor tiles?
That looks tight.

First effort would be to get the adjusters into reach and see if the door can be raised sufficiently.  From the looks of things, that isn't going to be enough.

You could futz around and replace the roller mechanism with a more compact one to gain a little height, but I have found it difficult to obtain compatible parts and very difficult to find anyone who would know where to obtain them.

The surefire solution is to open the walls, take out the doors, cut them to be shorter, reinstall, and then restore the walls.  Easily said, but potentially a lot of work.  However, it is probably easier to get the walls to be restored and looking good than whatever you might do to the flooring.