Well, here is the general answer is: ALL of these countries allow "retirement" visas, since for them it is an investment. All of them require a police/criminal record. And all of them treat this on a case by case basis. Meaning, that if the felony is white collar, they may be more apt to allow one to settle as opposed to if the felony was for a sexual or violent act.
Also, timing matters. The longer it has been SINCE the conviction, the more likely the country is to agree to provide a visa.
The countries that have the most lax standards when it comes to this from the list you provided are (arguably) Ecuador, Peru, Bolivia, and Columbia.
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