Can you install wood and/or ceramic on existing tile floor?

Yes, along long as the floors are level

Demo the old floor. It will create awkward transitions to other rooms and a tripping hazard. My flooring guys would refuse the job - too much of a liability.

I agree! Remove the old before installing the new. Height, transitions, base board molding and door molding would need to be trimmed. Any movement in old floor will transfer to new and cause failure.

Hello! Yes, tile can be laid over a previously tiled floor. Here is a video and some information on how to go about it. Click on the link below to view. I know that wood has been laid over existing tile as well. Search online for a video of that as well if needed. Good luck!

https://www.todayshomeowner.com/video/how-to-lay-tile-over-a-tile-floor/

You can put like on top of like. But do not put timber in same direction or tile on top of tile best to change size of tile or start with first tile stradling across 4 x joints.

Make sure your subfloor can handle the weight!