Remove tile
#1
#2
Hit it really hard with a hammer.
The type of damage you'll do may depend on how the soap dish is mounted. It might be attached to drywall, to cement board, or to the surface of the tile. It might be attached with adhesive caulk, mastic, or thinset mortar. In almost any case, you have a risk of damaging what the dish is attached to. You're going to need a certain amount of luck, and you need to be prepared to deal with whatever damage you might end up with. Keep in mind that whoever mounted that soap dish intended for it to stay there forever.
What do you intend to do with the hole you'll have left? In most cases, there is no tile under that dish.
The type of damage you'll do may depend on how the soap dish is mounted. It might be attached to drywall, to cement board, or to the surface of the tile. It might be attached with adhesive caulk, mastic, or thinset mortar. In almost any case, you have a risk of damaging what the dish is attached to. You're going to need a certain amount of luck, and you need to be prepared to deal with whatever damage you might end up with. Keep in mind that whoever mounted that soap dish intended for it to stay there forever.
What do you intend to do with the hole you'll have left? In most cases, there is no tile under that dish.