Shuck the oysters and remove them from their shell. Place one oyster each in a small martini glass, including the oyster juice. Divide into sets of 2.
Within the first set of 2 oysters, divide and combine the diced green apple, apple vodka, and green grape juice. Rip the mint leaves by hand and divide over the 2 oyster shooters.
Within the second set of 2 oysters, divide and combine the diced mango, diced papaya, spiced rum, and juice of 1 lime. Season with sugar.
With a knife roughly chop the roasted tomatoes, then use the side of your knife and the cutting board to smash them into a puree. Within the third set of 2 oysters, divide and combine the roasted plum tomato, horseradish, tomato juice, cachaca, and juice of 1 lime.