I can never think of Shakespeare’s Richard III except as political propaganda. I have an evolving theory about the princes in the Tower, and about Lord Hastings’ head on the block, and why Henry VIII was so profligate– but it would spoil the play. I would suggest, after enjoying the play, a little research–Clements Robert Markham’s Richard III: His Life & Character Reviewed in the light of recent research is an excellent book in my very unqualified opinion. Also the book is free on the Kindle.
I have so far seen two versions of Shakespeare’s Richard III, the made-for-TV BBC production in An Age of Kings, and then Laurence Olivier’s Richard III. Each has its own merits, and overall I must perforce admit the BBC’s production the better, in sets, directing, and other such dry things that went into making Richard live again for a span. Then again, Olivier’s Richard has the far better acting. For one moment, as Richard is muttering to himself, you may very well think that Olivier really is a wicked, scheming wretch of a king. On the other hand, the BBC version is a better deal, and so has the upper hand.