How can I make a backsplash for the wall behind my stove?

Ceramic Tile?

There are so many options, including peel and stick backsplash tiles (which are nice and easy), here are some links with ideas:

https://www.bhg.com/kitchen/backsplash/cheap-backsplash-ideas/

http://www.architectureartdesigns.com/30-unique-and-inexpensive-diy-kitchen-backsplash-ideas-you-need-to-see/

Ideas to consider ceramic tile, shiplap, brick veneer and a fireback. It was recently on This Old House.

Depending upon your lighting and decor sometimes a pop of black it’s really attractive in a room.

Consider looking at houzz and pinterest for ideas.

http://www.woodlanddirect.com/Fireplace-Accessories/Firebacks

I have seen several things...plastic tin-style squares; wipeable wall paper; non grouting tile, even stainless steel or copper sheets screwed into place!

Here is a link wiht a bunch of images of differnt types of backsplashes. It might help you choose what you want to do https://www.google.com/search?q=diy+backsplash&rlz=1C1CHFX_enUS561US561&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjYueXtxtjaAhWOn4MKHbDlAJcQ_AUIDCgD&biw=1447&bih=874

I used real tin tiles and put them up with heavy duty velcro. Win.

Of course -- you just need to decide what you want to use - tile, glass, wood, stainless steel, tin ceiling squares ( also come in fiberglass - cutable and easy to install).... the 'look' you want and how much $$ you want to spend. There are LOTS!! of great products available for the DIYer -- even gluing pennies to your wall !

The easiest and least expensive one we found was metallic from Lowe's. Other home improvement stores probably have them too. They look like tiles but are metal and can be cut to size. They come in copperish, silver, and gold looking metal. They should match your kitchen with one. Hope this helps. They are easy to install. If we could do it, any one can

Lots of info from the above posts, we are going through this right now and are still undecided. The only positive thing I can say is we know what we don't want. Big decision! Best of luck.

Get some decorative tiles and grout them on