No, this isn't a post about how to make amends with your kitchen floors. It is, however, a brief look at a few kitchen flooring options that are easy on the feet (and dropped dishware):
Cork: Cork floors can be laid in tiles or sheets, as a thin glue-down material or thicker click-together floating floor. It comes pre-finished or is finished with several coats of polyurethane after installation, which helps it stand up to wear and cleaning. We love this material for the kitchen because it's got a little give underfoot and its natural color variation helps to camouflage imperfections or the need to sweep.
Rubber: Like cork, rubber can be installed in tiles or rolls. Rolls can come in quite long lengths at 36-48" widths, making for few joints (thus fewer places for potential problems). Just imagine - a roll of rubber flooring could be laid with no joints at all in a galley kitchen! Rubber can also provide additional traction in the kitchen - especially with raised dot rubber floors as shown in image 3 above.
Linoleum: One more forgiving flooring material is good old traditional linoleum. Linoleum is a natural material, made of linseed oil, pine rosin, ground cork dust, and wood flour. It is a flexible material that dates back to the 1800's and, like cork and rubber, comes in tiles and rolls. It is often pigmented to allow for decorative patterning as seen in image 4 above.
Related: Rubber Floors In the Kitchen