Is there another way to Jamaica without transiting through US. Am from Uganda [closed]

A quick check of Wikipedia indicates that there are flights to Kingston, Jamaica from London (UK) and Toronto (Canada). It also shows regular flights to Panama City, which has flights from other European countries such as France, Spain, and the Netherlands. There is also a flight from Beijing to Panama City, so if you can get to China you can avoid transiting Europe too.

Now, before you book travel, it is probably worth asking why you want to avoid the US. Were you rejected for a visa? Have you been specifically banned from entering the US? Are you more vaguely concerned with some things you have heard about the US or how hard it supposedly is to get a visa?