For nice places full of foreigners, check out the bars at RRE/Tide Table or at Marshall Islands Resort.
Marshall Islands Club is a local favorite. Spacious, with an open air deck situated right on the lagoon.
The Flame Tree is a very popular bar/club combination.
The Pub, Awa Zero, and Lanai recently shut down are the late-night dance clubs. They generally don't get going until well after midnight.