Oh, we're bred on Shakespeare at school! That doesn't mean I know about all the plays, however...
I saw a production of 'King Lear' recently with Timothy West as Lear, and, though I haven't read the play before, I followed most of it and quite enjoyed it - though it was horrific when they poked Gloustaer's eyes out...

It was quite amusing to see, in between acts, people rushing onto the stage to clean off the blood ready for the next scene! A gory play. But Mr. Lee would make a fine Lear.
I actually reckon he may make a good Shylock in 'The Merchant of Venice' - it's an unusual role, of which I've only seen Laurence Olivier play in a film version. I think he may be able to bring a certain edge to that one, though I'm no fan of that play.
I can't comment on the roles from
The Tempest,
Henry IV or
Twelfth Night because I've never seen or read them! But I've had as good a say as I can!
Actually, Mr. Lee might make an intimidating Ghost in 'Hamlet', too, when Hamlet sees the apparition of his murdered father talk to him...great play, that one, if not the one with the biggest on-stage body count by the end of it! :D