An easy evergreen is Euphorbia @Chriscore. There are many many varieties though, [and a few aren't evergreen] and one or two can get a bit thuggish, so it's best to do some research before buying. The main drawback of them is that they have a sap which can be an irritant, so that's something to bear in mind. They're very useful for awkward sites though, sun or some shade. What sort of height do you have there with the fence? A good evergreen for sun and good drainage is Escallonia. They can be pruned, but they give good coverage and have pink flowers in late spring/early summer. There's also a white one which might be hardy enough where you are. Ceanothus are also good in that sort of site - pale blue flowers usually. That would give you some height if you wanted that. It will also depend on the depth of the bed [front to back] for the Ceanothus in particular. Another useful plant is Euonymus fortuneii. Some will act as climbers if they have a fence or wall behind them E. Silver Queen in particular. Grown for their variegated foliage rather than their flowers, which are tiny, but they're a useful foil for other plants, and would give a permanent backdrop.
The fence is around 6ft. Thanks for all the suggestions, going to look into these
All the evergreens that @Fairygirl has mentioned are reliable choices for you. If you have space you could also add a shrub like a Phormium or Cotinus for additional interest. Salvias would also be easy to grow if your soil is free draining. Try S. caradonna or one of the shrubby salvias for long lasting flowers which are attractive to bees. Another long flowering perennial to consider is Nepeta or catmint. It’s a bit late to plant perennials now but you could prepare your border by adding an organic mulch over winter.
You might want to think about adding some support for the taller growing plants - they will all lean towards the sun, so could flop over the path. I like the rusted ones. plant-supports.co.uk has the sort of thing I like.
If your plan is to scale @Chriscore , then the border should be a reasonable depth, as it's the same as your shed Hebes would also be useful as an evergreen shrub. There are hundreds of varieties, but many are neat, globe shaped varieties which may be useful for you. In general, the variegated ones aren't as tough/hardy. Most GCs will stock a few varieties. The one Salvia that's 100% hardy is S. caradonna. It still needs decent drainage, but will manage wet cold no problem as long as it has that, virtually everywhere in the UK.
It's a place where beautiful isn't enough of a word....
I live in west central Scotland - not where that photo is...
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Hebes would also be useful as an evergreen shrub. There are hundreds of varieties, but many are neat, globe shaped varieties which may be useful for you. In general, the variegated ones aren't as tough/hardy. Most GCs will stock a few varieties.
The one Salvia that's 100% hardy is S. caradonna. It still needs decent drainage, but will manage wet cold no problem as long as it has that, virtually everywhere in the UK.
I live in west central Scotland - not where that photo is...