In reply to elliot.baker:
To state the obvious, shoes that specialise too far towards either running or scrambling are going to be less good for both. The best all-rounder that I've used is the Bushido, as someone else said:
https://www.ukhillwalking.com/gear/footwear/running_shoes/trail_running_sho...
There may well be other makes and models that offer something similar too. I've scrambled in them a lot, and done a lot of running and walking too. I would stop short of roped climbing ground because they're not very edgey or precise feeling at the toe. At that stage I'd be looking at more climb-oriented approach shoes, but then I probably wouldn't be combining those routes with running in the same way as you can do with easier scrambling.
That said, if you're only talking grade 1 hillwalker's scrambles like Tryfan north ridge then pretty much any decent fell or trail shoe ought to do - in the dry.