Nottingham do a year of small group full body dissection and the course is likely to be evolving towards using it even more heavily in the next couple of years
I'm pretty sure Bristol, Sheffield, and Leeds also do, don't know about the rest
Loads of them (it really annoys me on open days when med schools are like 'we are one of the only medical schools that still do dissection'). Don't base your application on it though, it's not that important. I didn't learn anything from it anyway, prosections are much more useful for learning in my opinion. Don't know about anyone else but this was way more useful than the time spent in the DR.
Cambridge - for the entire of first year, one cadaver between 6 people, guided by a massive anatomy manual, which contains notes for each session, detailing the structures you're dissecting and gives their anatomical information etc. Anatomy teaching at Cambridge is superb. The course is supported with lectures and labs, and is brilliantly taught.
Also use prosections and models alongside dissection for revision.
Probably the best anatomy teaching in the UK happens in St Andrews. It's ridiculously thorough and you dissect in small groups in an ultra modern laboratory every week for 2 and a half years, covering the entire body in huge detail - support by lectures, surface anatomy and micro labs. The anatomy team is legendary and the teaching is excellent, if possibly a bit too in depth..