Hydrangea petiolaris is excellent. It has pretty white flowers and clings without support.

Clematis 'Victoria'
Rose'GoldenShowers'

On my north facing wall, I have the wall hydrangea as Sheilabub says, a red climbing Rose Paul's scarlet, variegated ivies, Parthenocissus and Pyracantha. All are doing very well, and Paul's scarlet looks great with the white flowers of the Hydrangea in June. Also in the summer months a Golden Hop scrambles amongst the yellow flowered Tangutica Clematis Radar Love. This may seem a lot of climbers, but it is a very long stone wall....:o)

I love the evergreen 'Berberidopsis Corralina', an evergreen twining climber with lovely coral/red flowers in late summer-autumn. it is hardy and it likes shade, but it does need acid soil, and must not be allowed to dry out.