Natural cherry stained cabinets have a hint of red, but the predominant tone is light brown. While you can use a similar stained wood floor with this color of cabinetry, in a small kitchen the effect would close the room in. Go with either a lighter or darker stain for hardwood floors, or choose a light colored vinyl, linoleum or tile floor, which creates a contrast with the cabinetry. Pick colors that are warm in tone to match the natural warm tones of this wood.
Although they have a much warmer red tone, medium cherry stained cabinets are still considered brown in color. A light maple hardwood floor with this type of cabinetry would provide a dramatic contrast that would not close in the room. Darker wood floors can still be used if the room is large and open and the stain of the wood is brown in tone. Matching this darker wood with the same color of floor would make the room feel much smaller.
Typically very red, dark cherry cabinets look much like mahogany wood cabinets. This is a very dramatic color, and flooring choices are more limited. Once again, choosing a light maple floor provides a contrast that is still in keeping with the warm tones of the wood. Lighter colors should be used for flooring with this type of cabinetry to avoid overwhelming the room. For a rich look, a cream marble floor would be ideal with this color of cabinetry.
To allow the cabinetry to be the main focus of the kitchen, neutral colored flooring is the best option. Warm tones such as ivory or a light beige will set off the natural coloration of the cabinets and allow them to be the focal point. Mixing wood is a difficult decision; err on the side of lighter versus darker when dealing with cabinets, and stay within the same color family, just several shades lighter.