For instance, if you wanted to become a permanent resident or a citizen to the Dominican Republic, all you would have to do is get there (via sea or air), go through the motions, submit the paperwork and pay the taxes.
You would start by buying a US$10 tourist card, as a permit to enter the country, which will be approved unless you are obviously wanted by Interpol.
This will give you 60 days, during which you can apply for your provisional resident visa. For the resident visa you will need to provide, aside from the usual forms and tax payments, proof of solvency, defined as about 13k dollars in assets (cash and property) at the current exchange rate, and a letter of sponsorship from any good-faith Dominican citizen with in-country legal residence.
Within the first two months after this visa you can apply for a provisional residency card. About four months after the application, you receive your provisional residency card, which lasts a year. At about the year mark, it does not matter much if it happens before or after, you can apply for your permanent residency card. That last one lasts 3 years and is indefinitely renewable (as long as you do not commit a horrible crime).
After two years of uninterrupted legal residency in the country (i.e. at least six months and one day per year) you can apply for naturalization.
All the while, you are free to engage in productive business from day one. You would be taxed differently, on account of not being a citizen, but you would be allowed to work for a profit. If you happen to aquire assets in-country, there is leeway to have the sponsorship requirements waived.
Legal translations, medical examinations and notary public fees carry the burden of the cost of the process. Taxes will run you up less than $100 in total. The entire process is fairly inexpensive and could probably be done with less than $1000 dollars.