We enjoyed The Pickled Onion in Hamilton. We made a quick stop there this past summer for lunch. It's a nice, casual place with pretty decent food. Looking at my journal, we all started with fish chowder, my husband had a burger, my son had pasta, and I had shrimp quiche and salad. I also noted that it was not far from the ferry stop in Hamilton.
Hopefully, others will chime in, as we haven't dined out in the evenings on any of our several trips to Bermuda.