Besides Shakespeare's play (which is one of my favorites -- the opening soliloquoy I can still recite in my sleep) historical snippets show that Richie was a pretty good king (as, incidently, also was Macbeth)
Good king? He wasn’t even supposed to be king. He was supposed to tend the throne until his brother’s kids got old enough. Instead he had the kids declared illegitimate, crowned himself, and the kids were never seen again. Sounds like a real bastard to me.