It is certainly a memorable production in many ways but I do have a few reservations. *spoilers follow*
Director Lyndsey Turner has done some interesting things with the text, moving some of the speeches and switching some of the dialogue. This is most notable in the opening scene. Normally you have the ghost appearing to the watch, instead we see Hamlet alone, listening to Nat King Cole on an old record player (great use of Nature Boy).
He's sorting through crates of belongings. There's an old toy boat and clothes. He takes a jacket and smells it in that way you do when you are nostalgically drinking in the memory sparked by an aroma. It reminds him of someone - his father presumably from the style of the jacket. And when he speaks it is 'To Be or Not To Be."
Now @polyg didn't like this, felt it took the speech out of context with no opportunity to warm up to it. I disagree. It was an impassioned, tear-filled eyes, rendering that set up Cumberbatch's Hamlet as very much the thinker, an over thinker, a melancholic who is lost in grief and isolation in his own home.
Nature Boy, the boat and later when he plays at toy soldiers in his 'antic disposition' all seem to suggest a yearning for his childhood, a time presumably when he was happy.