Well, hungry deer will eat almost anything, but there are several ground covers that show Resistance to deer. Ajuga is the first plant that comes to mind. Most ajuga is quite tolerant to multi-zoned planting conditions. Ajuga is also colorful and when these plants reach maturity they will provide excellent ground cover. The Chocolate Chip Ajuga produces a very attractive dark leaf and provides fast cover. Other plants that can be used for ground covers that deer are not particularly attracted to are ferns, Lilly of the Valley, pachysandra, Snow-in-Summer, and vinca minor.
Deer are not fond of mosses such as Scotch moss or Irish moss. If you are looking for a larger plant for ground cover you might consider juniper. There are some low growing junipers that provide excellent ground cover and are deer resistant.
