I was about to put down a long list of "must-see" Shakespeareana when I had this wild idea. The order is very important here.

1. Olivier's "Hamlet" followed by Kaurismaki's "Hamlet Goes Business" 
2. Kozintsev's "King Lear" followed by Kurosawa's "Ran" followed by Godard's "King Lear"
3. Kurosawa's "Throne of Blood" followed by Polanski's "Macbeth" followed by Vishal Bharadwaj's "Maqbool"
4. Jarman's "The Tempest" followed by Greenaway's "Prospero's Books"

M