How to demo a ceramic tile countertop with a cement base?

The only way to do this is with good old muscles and sweat! Get yourself some eye protection and a big hammer. Remove your sink beforehand (making sure the water is turned off) and then start breaking up the tile and concrete! You could try to use a pry bar to lift the countertops but be warned - they will be heavy and prying them up could damage your cabinets. If you're trying to save the cabinets use caution separating them from the countertops.

These videos might help. I agree with Sue tho', saving them to donate can be done but it will take a lot of help.

What are you going to replace it with? If you plan to demo removing the concrete and all, I would rent a hammer drill. You will need goggles, good masks, gloves, various pry bars and tin spits, a big trash can to remove debri, and plastic sheeting, even masonite boards to protect floors.

https://www.youtube.com/watch?v=xoh6Z_sJJjg then if you want to remove the plywood, look underneath counter for clips or screws to remove to lift off.

Check out how they did it! https://www.youtube.com/watch?v=C8WN_1LbTA0