Moss Phlox (Phlox subulata) is a richly flowering, clump-forming phlox that stays green in both summer and winter. In spring these plants produce innumerable crimson and white flowers that attract butterflies. These Phlox like to be planted in full sunshine.
I really want to do this. Lavender Hidcote - This easy-to-grow sun perennial thrives in full sun normal garden soil. Plants vigorously grow to form mounds of fragrant, silvery foliage 18 tall 24 wide. This drought-tolerant hardy perennial has extremely fragrant foliage
Weed-smothering groundcover: Lily-of-the-Valley - Beautifully fragrant, lily-of-the-valley is one of the easiest groundcovers to grow. It's perfect in the shady spot off the patio or under the big tree in the backyard. Do watch it, though: It can be a vigorous spreader. Name: Convallaria majalis. Growing Conditions: Shade and well-drained soil. Size: 8 inches tall. Zones: 3-8
The very tiny Irish Moss seeds create a moss-like, emerald-green perennial foliage that forms a compact 1 - 2 inch tall carpet. Sagina Subulata ground cover is excellent for planting between flagstones or as a lawn substitute. It grows in part sun to shade and blooms tiny white flowers in late spring to early summer. Zones 4-10
Soapwort - Saponaria officinalis A cinch to grow. Features clusters of phlox-like pink, purple, or white flowers in summer and fall. Full sun and well-drained soil. To 2 feet tall and wide. Grow with Yarrow; both are low-care, sun-loving perennials. Zones 3-9
There are very few ground covers that can be walked-on, but creeping thyme is one of them. So it makes an ideal ground cover to use between stepping stones, near the patio adjoining walkways or around stones and boulders.