Lemon Lime and Bitters is great with any clear hard alcohol. Use 7up or Sprite with Vodka for example, add lemon and lime juices and some bitters. Very refreshing.
Off the top of my head, you should be good for gimlets, sours, and modified versions of the martini (pick up a bottle of dry vermouth for the real thing). The rum should pair nicely with the lime juice and the simple syrup.
I think this search engine might work for you to find other drinks.
Had 1800 Pomegranate & Regular Margaritas the other day, better than any other pre-mixed marg I can remember having. Still a little syrup heavy, alc light but it was expected.
In need of a Negroni
My friend gave me a bottle of pure maple syrup for Christmas this year. I am not huge on sugary breakfasts, so much as I appreciated the gift (and fuck me is the stuff delicious) I just hadn't found much a use for it. Then I bought a decent bottle of bourbon that was a bit harsh and decided to try to make a maple syrup old fashioned. You guys, this is the real deal.
1 shot decent bourbon/whiskey
1/2 shot pure maple syrup
3-4 dashes angostura bitters
Mix all in a shaker with ice. Shake and strain into a glass. Drink a shit ton of them.
Whew that sounds good.
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Ods, say it mysterious like Roger More.