Golden ragwort (Packera aurea) is a great shade-tolerant ground cover you can grow in winter. It's cold hardy in zones 3 through 8. It spreads out quickly by rhizomes to form a dense mat, just ...

My favorite ground cover for sloping areas in full sun is Snow-in-Summer (Cerastium tomentosum). Creeping Potentilla, Utah Sedum, and Sweet Woodruff will also do well on sloping areas in sun or shade.