Both the Nandina and Star Jasmine will certainly take those conditions, but of course will groww either more densely or sparsely given a continuous row planting with varying light. If you want them all to look the same, don't have the same plant span the light continuum. I'd suggest the Trachelospermum as perhaps the better choice.

I'd plant both. It's a long strip, so you could stagger some tall nandinas with a few Gulf Streams in groups, and have some jasmine on a trellis or tuteur somewhere in the mix. There's someone on the rose forum who uses huge tripods leaning up against her fence for climbing roses- very pretty. I'd also use foxtail asparagus ferns (gasp). The impossible to remove Fortnight lily (dietes, morea, whatever it is now)takes those conditions, but it's as bad as asparagus ferns. There are probably more and better options in your zone, though. You could also put some plants on sticks. That mixes it up a bit. I use Sprenger asparagus for that. Ivy might work too, and wire plant is an option. If they touch the ground, though, you will have issues.
Renee

I have the same spot. Nandina did great there. One thing about Nandina, if it is too close to a wall or fence it leans outward away from the wall or fence. Something to keep in mind. The Trach will be fine as well if it gets sufficient water in the summer.

I switched to 'Green Tower' Boxwood because of the leaning problem of the Nandina. That did great, too.

I always pooh-poohed privet (ligustrum) until I faced this kind of problem myself. There's a reason why it's so common--it works. I used it for a screening problem, so tall was good. For your situation, however, it may get taller than you might like.

Kay

Thank you very much everyone!

I think I will go with a mix of Star Jasmine and Nandina, I have a bunch of Privet in other parts of the property and I don't really want to add any more. Boxwood in an interesting idea, it is never the first plant to come to my mind but it does look good year round. For the shorter plants in front I was thinking of putting a 'drift' of sedge, I seem to remember that they are supposed to do well in sun or shade...

It's going to be a while before I can get things moving, but some day I hope to post beautiful pictures as a thank you for all the wonderful advice :o)