Can you encounter legal problems if you use officially licensed NFL NCAA MLB and NHL paint from Home Depot on bean bag toss games?

NO Yes. Get an attorney to review all of the legal ramifications before you go into the production. The results could be financially devistating for you if you haven't taken steps to protect yourself. * No. There is no such thing as "officially licensed" paint. There may be paint that is endorsed by a sports team, a celebrity and so forth, but that does not give that team, person, business control over how the paint is used.