As a general rule, the cruising guides will tell you that kind of thing. noonsite.com gives a decent overview in many cases.
In our experience through Central and South America, the paperwork will entail a copy of your USCG documentation, a crew list (with age, passport number, and "employment role"), rarely proof of insurance (if you're checking into a marina), even more rarely a list of serial numbers for dinghy, outboard, .... You will be visited by customs and immigration officers (or go to visit their offices) and give out multiple copies of the documents, and get stamped copies in return, which you may need to show upon exit from the country.
Fees change all the time, so your SSB will be your best source for that.
We have NEVER been asked (Central and South America) for proof of vaccinations, proof of no rats, ...
PS: When you check out of country A, save EVERY SCRAP OF PAPER, because you may be asked to show it upon entry to country B, just to prove that you left A legally.
But really, in the C&SA area, it's mostly easy, and at worst, an annoyance. I can't speak for Europe or Polynesia.
