An example is so-called "red" thyme, although its flower color is really more of a pink or lavender. A bonus in using thyme ground cover is that it's one of the fragrant plants, although intensity of smell will depend upon variety (the smell to which I refer comes from the leaves, not the blooms).
Thyme Ground Cover
Photo of "Red" Thyme
Some types of thyme ground cover flower profusely, albeit minutely...
Creeping thyme photo.
David Beaulieu
