If you’ve got a sunny wall to plant on then a few of my favourites are jasminum officinale, rose, and wisteria. Jasmine and rose can be great to fill your garden with fragrance, and the wisteria is just beautiful and classic. For something really unique, abutilon ‘Kentish Belle’ is just stunning, but it is not as hardy and will only survive in warmer parts of the country. However, it must be said that campsis radicans, the trumpet vine, is one of the most popular creeping plants out there at the moment that requires full sun, and it really is gorgeous.
For spots that don’t get much sun you could go with clematis, honeysuckle, ivy, or pyracantha ‘firethorn’. Clematis require very little pruning, ivy needs no support, honeysuckle is beautifully fragrant, and the pyracantha is bold but will stay small and manageable. Garrya elliptica is another favourite – a stunning and unusual wall shrub that is very shade tolerant.