I’ve been using a Berghaus Rapide for about five months now, breathability is excellent and while it’s primarily designed as a running jacket, it works pretty well on a bike as well. My only real reservation is that it has a very fine and slightly fiddly main zip that I don’t quite trust to survive long term, particularly with cold fingers and clogged with grit, but so far, to be fair, it’s survived. I cut the daft thumb loops off as well.
The Active Shell fabric is very, very good. Far more breathable than other Gore fabrics I’ve used. Oh, and it has no pockets if that bothers youm – well, it has one tiny pocket inset into a seam which takes a key or something similarly small.
Gore Bikewear has a jacket in the same fabric which looks promising – haven’t used it but I like their stuff generally – but it’s a bit over your budget, I think. Er, gulp, £220…