We stayed at The Reading Rooms, a grade II listed Georgian townhouse in an attractive square, and it was one of the best (albeit one of the priciest) b&b experiences I've had. We had room 3, on the top floor, with wonderful views out to the sea. The view from the bathroom wasn't so great - my only niggle - but not enough to negatively impact our stay.
Our room was beautiful - it was almost a wrench to leave and explore the town. Super comfy beds, beautiful vintage French furniture, a modern, spacious bathroom with Ren toiletries and a roll top bath, and gorgeous fittings complimented by the odd modern touch here and there. I also adored the distressed plasterwork on the walls.
The Reading Rooms is not cheap; our two-night stay was £360. That said, my partner and I both loved the accommodation and appreciated the unobtrusive nature of its owners. If you're considering a break by the seaside and want to treat yourself to some understated luxury, I imagine you'd be hard pushed to find a better option.