To go a bit further, on that subject since you asked:
Olivier is generally considered to be the most revolutionary Shakesperian actor. (As an actor only, his directing was sort of shit.) But what he did with Shakespeare transformed how the material was performed was transformational. His style is now considered to be a bit to mannered for modern taste, but at the time he we doing totally revolutionary things like connecting the lines into sentences rather than stopping at each line break. If you are into acting at all, he was a huge step forward and everyone who works with Shakespeare is heavily influenced by what he did as an actor.
If you want to see something interesting check out compaire his Othello to Orson Wells’s. You will get a look at two great actors playing in totally different styles. Wells in the older stlye and Olivier in the newer style. Then check out Olivier’s Richard III and compair it to Ian McKellen (who worked with and was paritally trained by Olivier IIRC) to see what that style of Olivier’s became only a short time later. (Not by movie making time, but by actor generational time) Then compaire the Olivier Hamlet, or my preference Henry V, to Branagh’s versions of either film to see a much more modern style of acting even than McKellen’s. You can see Olivier’s style as the central pivot around the acting changes. It’s neat if you are into that sort of thing.
As an additional 2 cents, my only problem with Branagh’s Hamlet (well not the only one, but my biggest one) is that Branagh left the script uncut, and I think that for Hamlet that is a mistake. Shakespeare has a lot of repitition built into the scrip by design, and Hamlet in particular has an entire sub plot that has nothing to do with anything other than act as comentary on 1600s era politics. I go to Olivier as my definitive film version of the play.