The cheese made in Belize is Nasty! (in my opinion) but you can get many different types of cheese that is imported. Wine de Vine also has a great selection of some fancy cheeses as well.

If you want Belizean Rum, then you don't need to get it at the duty free. (There is no duty on it) You can get it at just about every corner store or supermarket and it is not expensive. I would also recommend a visit to the rum and cigar house on middle street.