There are harsh legal requirements dealing with US mail.
In the US a lot of junk mail is delivered to Person Name
or current occupant
. If it says current occupant
it's yours now...
Optimally each past tenant should have completed a change of address and filed it with the local post office. This can be done with a physical card that you get from the post office or online. Generally this only works for about 6 months.
In the US it illegal to do anything except return mail, that is not addressed to that Person
##§1702. Obstruction of correspondence
§1702. Obstruction of correspondence
Whoever takes any letter, postal card, or package out of any post office or any authorized depository for mail matter, or from any letter or mail carrier, or which has been in any post office or authorized depository, or in the custody of any letter or mail carrier, before it has been delivered to the person to whom it was directed, with design to obstruct the correspondence, or to pry into the business or secrets of another, or opens, secretes, embezzles, or destroys the same, shall be fined under this title or imprisoned not more than five years, or both. source