My favourites are:
Anna Cassiopeia: both
Anna and
Cassiopeia sound timeless -
Anna is a classic that suits a girl or woman of any age, nationality and time period, and
Cassiopeia is mythological, but also a bit sci-fi sounding (in a good way).
Anna Hermione:
Hermione is lovely, but it's associated too much with
Harry Potter, which isn't as visible when it's in the middle place. I also think they go great together.
Anna Persephone: go together wonderfully, and I like most mythological names.
Anna Theodosia: I actually thought about naming my (theoretical, since I'm 15) future daughter that -
Theodosia is one of my absolute favourite names, but it's not very usable, and the lovely
Anna "neutralises" it.
Anna Zenobia: I like the sound, plus the fact that it works in Poland.
I don't think I could choose least favourite combinations, because I adore most of them!