With the same owners as Pensionat Baggen, Brännö Värdshus houses a cosy restaurant, cafe and bakery and serves excellent meals, unsurprisingly emphasising seafood. In summer there's a weekday set-menu lunch (11am to 4pm), and regular live jazz and folk gigs in the evenings.
Note that the restaurant is about a 15-minute walk from the Husvik ferry station – no cars allowed on the island.