Patterned or Solid Wallpaper
If you have plain or solid colored countertops, think about having patterned wallpaper on the backsplash. The wallpaper pattern can include the countertop color to tie it together. Or, if your countertops have patterns and designs, keep the backsplash in a complementary, solid color--this keeps the backsplash from competing with the countertops. Since the backsplash represents a small wall area, you can experiment with bold colors.
Mount textured wallpaper as a backsplash. You can choose raised vinyl faux stone or brick in a variety of colors. Other textures include granite, marble, cork, bamboo and fabric. Some textured wallpaper comes in a white color, made to be painted over.
Mural Mosaic Wallpaper
Wallpaper comes in mural mosaics, which you can use to turn your backsplash into an artistic mosaic scene or image. Mosaic wallpaper would look best on a larger wall space, such as behind the stove. Some companies offer to create a custom mosaic tile wallpaper from your own photograph, using water-resistant ink.
Wallpaper tiles or squares provide a simple, inexpensive way to apply wallpaper. You can install the tiles in different colors to make an interesting effect. Some wallpaper tiles come in 3D, providing a sculpture effect. If you ever want to change the backsplash in the future for a different look, just remove the tiles without any effort.
The space behind the stove offers more space to work with than the countertop backsplash, providing an opportunity for you to add more drama in your kitchen. You can introduce a new wallpaper color behind the stove if you desire, along with wallpaper on the countertop backsplash. Alternatively, you can just add a dramatic wallpaper design or color behind the stove, making the backsplash a focal point for the kitchen, leaving the countertop backsplash bare.