First of all, there are countless highly alcoholic drinks, all based on local rum.
Entire stalls of bottles with evocative names: "Ti'Punch," "Punch Planteur," "Punch Coco," etc...
But also liqueurs made from local fruits: banana, pineapple, mango, guava, papaya, etc...
Finally, for tourists in search of strong sensations: pepper or ginger liqueur,... or even one, with a more evocative name, named: "zizi straightener"!