You might remember Guyana for the Jim Jones Kool Aid massacre, but it is one of the producers of some of the finest rums in the world today. Panama, Mauritius, Thailand, the Philippines, India, Spain, Venezuela, Nigeria, Costa Rico, just to name a few places. Oh, I forgot to mention the United States where there are a large number of craft distilleries that are producing some really fine rums. Placers like, Florida, Hawaii, and Louisiana you might expect, because they all produce sugar cane, but California, Colorado, Georgia, Massachusetts, Illinois, and Pennsylvania all are producing many fine rums as well.
This is why I have a really hard time truly to come up with an answer to the question. I have many favorites from places that you would never expect to find good rums. Phraya from Bangkok, Thailand, Pink Pigeon from Black River, Mauritius, Diplomatico and Santa Teresa Rums from Venezuela to name a few. Look around the world and you will find fine rums from nearly everywhere in the world. Spend some time exploring the rums of the world and you will have some very pleasant surprises.