Answer: You didn't specify sun or shade, so here are a few suggestions for both situations:
Cotula -Leptinella pusilla ?Platt?s Black? Brass Buttons; Attractive brown Lacey foliage that forms a low mat ground cover from New Zealand. Sun to part shade. Average water. Great for small scale gardens. Unusual, spreads nicely.
Dymondia margaretae; The toughest groundcover ever. Drought tolerant ground cover, tolerate much abuse once established, small great foliage, small yellow daisy flowers are not particularly showy. Best in full sun, can tolerate foot traffic once established. Need some supplemental watering in the summer.
Mazus reptans 'Albus'; Excellent groundcover flowers well, this is a white form with large foliage and flowers. Good in-between steppingstones. Sun or partial shade, with regular water.
Mentha pulegium (Dwarf Pennyroyal) Mint Groundcover; A dwarf mint that can be used for culinary purposes, but more often just grown for its low tight habit, forming a dark green ground cover in the garden. Full sun or part, needs regular water. Smells great when planted between stepping stones.
Origanum 'Betty Rollins' Dwarf Oreganos; Very low growing cultivar of the culinary herb, selected in Los Angeles. It makes a beautiful mat of foliage, very nice between stepping stones adding a nice fragrance, with an added bonus of large pink flower clusters in the summer. Full sun or part shade, regular water and soil.
Trifolium repans ?Dragon?s Blood? Dragon?s Clover; A low clover groundcover from Europe. The highlight is the colorful foliage, green silver and pink. Full sun or part shade, not picky about soil, but will grow faster in rich soil.
Veronica repens ?Alba?; Bright green small scale groundcover. Small flowers are usually violet to pale lavender in the spring, this form is white. Good for use around pavers. Full sun to part shade. Grows quickly with regular water.
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