How can I remove a vanity backsplash without damaging ceramic tile?
Acetone is great for dissolving glue and adhesive. Try pouring some along the top of the backsplash and let it soak in between the wall and backsplash. After about 15 minutes try to pry it gently with a mud knife, looking for a little loosening of the backsplash. Apply more acetone as needed. Good luck.