Was there a couple of weeks ago, had a good time.
Fossil Hunting – go on a guided tour, ok so it costs, but you avoid looking like an idiot standing below crumbling cliffs, you avoid finding what appear to be fossils but infact when they dry out they crumble to dust etc, plenty of guides, we went with the guy from the fossil shop.
Ghost tour – Tuesday night from the museum, really interesting and good fun.
Didn't go in any pubs in Lyme itself, we were staying in Uplyme and went to the pub there, beer was good (Otter Amber in particular).
Bridport is worth a visit. Axminster isn't, unless you want to Hugh Furnley-Whittingstall's place, which is nice but expensive.
Beer (the village) is nice, we went over for the Regatta, a nice day out is to get there then walk across the cliffs to Branscome, and go to the Mason's Arms, which is probably the best pub in the entire area.