While we didn't see any outright physical crime against cruisers when we were in Nassau in early September, we were accosted several times by people looking to sell us any number of drugs. They were very persistent, wouldn't take "no" for an answer, and insisted on following us at length to make their sales pitches. This happened in several different places on the island--once in plain view of two policemen who turned a blind eye to the goings on. We wound up going back to the ship early because we were tired of being harrassed by the locals. Certainly if you feel you need to go to the beach then do it by local transportation and do not go off walking across the island on your own. Better to err on the side of caution.