Lots of great suggestions so far. Here's a few more.
Rum Drinks Similar To A Manhattan Or Martini:
- B.V.D. / Brown Cocktail - light or dark rum, gin and French vermouth.
- Diablo - Angostura bitters, Cointreau, dry vermouth and rum.
- Dunlop - rum, sherry and Angostura bitters.
- Fair and Warmer - curacao, Italian vermouth and rum.
- Flapper - dry vermouth, rum and aromatic bitters sweetened to taste.
- Full House - French vermouth, Swedish punsch and rum.
- Joburg - rum, caperitif (Lillet Blanc) and orange bitters.
- Little Princess / Poker - Italian vermouth and rum.
- Palmetto - rum, sweet vermouth and orange bitters.
Rum Cocktails Without Juices or Sodas:
- Alexandra - egg white, cream or half & half, Kahlua and rum.
- Bee's Kiss / Rum Zoom - rum, honey and cream.
- Belmont Park / Sevilla Cocktail #2 - rum, fresh whole egg, port wine and powdered sugar.
- Bumbo - rum, water, brown sugar and nutmeg.
- Cafe Caribbean - coffee, rum, sugar and whipped cream.
- Eggnog - eggs, milk, rum, sugar and vanilla.
- Parisian Blonde - Jamaican rum, curacao and sweet cream.
- Rum Flip - milk, rum and sugar.
- Spanish Town - rum and curacao with nutmeg garnish.