Since it is shady don't know how well the sedum would do unless it is bright shade.
Vinca is one I use, you have to water for first season until established but then it'll take off. There is a post on NGA about growing in shade but can't remember where, have to look around. I like the false strawberry but they can get out of control. They get a yellow flower then a small red berry that isn't poisonous just small and not flavorful. Can't remember what it's called
For dry shade areas looking at "weeds" you like, and planting more of those works too.