Which actors have become famous for their Hamlet quotes?

Answer 1

Actors do not become famous for "quoting" from Hamlet. They become famous for playing Hamlet. This is how it works: when a play is put on, the actor is given a script and is told that he has to embody one of the characters in the play, saying the lines and doing the things written in the script. All actors playing the part of Hamlet must say the words "To be or not to be, that is the question." because that is what Hamlet says in Act 3 Scene 1, not because they are cleverly inserting quotations from Shakespeare into their conversation. Your question therefore makes no sense. However, many actors over the centuries have been famous for their portrayal of Hamlet, including but by no means limited to Richard Burbage, David Garrick, Henry Irving, Johnston Forbes-Robertson, John Gielgud, Laurence Olivier, and Kenneth Branagh.