Toilet flange no longer over pipe
There are a wide variety of repair options that might work without damaging/removing tile, including repair flanges that use a compressible rubber sleeve that slides down over the existing pipe. 

Unfortunately, it is difficult to see exactly what's what from the pictures. Repair options vary much depending on what you find after removal of the existing flange, so I recommend that you work on that first (hopefully you have a spare toilet...) I assume the foundation is raised (since you spoke of having it leveled) and suggest you get under there to ensure you have not had a sewage leak under the house. Carefully inspect the underside of the subfloor while you are there, because you will need to secure your new flange to it somehow and if it is damaged then you need to plan for that repair as well.

This type of repair may seem simple, and really they are, but the details and tricks gained from experience are often invaluable. If you can't figure a clear path forward after inspection and a visit to a plumbing shop to look at and discuss options... you may want to hire it done.