wall climbers

Last year my daughter  moved into a Victorian terraced house with a small back yard with a high east facing wall two stories high, that never gets sun, .   At base of wall is a concrete area and along from that a shallow raised bed, seated on concrete.

I want plants to cover the white painted wall, either planted in the bed or in 15ltr pots. I have potted up a clematis and a honeysuckle so far in 2 pots. I'd  also value ideas for flooring the yard, at present concrete on 4 different levels and used by a spaniel.  It is covered in moss and grime right now.