In Florida licenses are by trade. I don't think there is such a thing as a "handyman" license and it gets pretty fuzzy what is allowed by the unlicensed. There are a few AHJs around here who say you need a permit to replace a snap switch (EC license required). It is fairly well accepted that a "maintenance man" can replace a ballast on the property of their employer and that got a little less fuzzy when they just started plugging in.
There are specialty licenses in some trades like EC that allow limited types of work. Alarm and general low voltage would be two examples. I am not sure about things like plumbing. My guess is the same AHJ who wants a permit for a snap switch, wants one to replace a faucet or a toilet.
There is a pretty generous "owner/builder" exception that allows an owner to pull permits for just about anything in their own home. Once you get past permit intake, it goes pretty easy but your average homeowner does not understand how many things require engineering stamps on their plans.
