Answer:
Fragrant, effective and attractive is how wild strawberry ['Fragaria vesca'] is as a ground cover. The small, cone-shaped scarlet fruits are delicately fragrant. The plant's tiny brown seeds and runners ensure the spread of the plant across a space. Particularly attractive are the small, white flowers nestled within green leaves.
It's a kinder, gentler cover than grass in terms of shrub- and tree-studded spaces. There's no mowing. So there's no compaction of the soil and no potentially repeated damage to woody plant body parts.