What's so good about 'Hamlet'?

Based on the following quotations, I think that 'Hamlet' is one of the most dramatic plays in the English language because of how mysterious the character of Hamlet is. We can never be completely sure of weather his actions leave him feeling guilty or pleased, and if he really says everything that he means to say. As an audience, we would be left wondering weather there was more to the character of Hamlet than what we just saw. There is a heavy, meaningful and important subtext to the character, but we can never be certain of what it is.

'Shakespeare went far beyond making uncertainty a personal quirk of Hamlet’s, introducing a number of important ambiguities into the play that even the audience cannot resolve with certainty. For instance, whether Hamlet’s mother, Gertrude, shares in Claudius’s guilt; whether Hamlet continues to love Ophelia even as he spurns her, in Act III; whether Ophelia’s death is suicide or accident; whether the ghost offers reliable knowledge, or seeks to deceive and tempt Hamlet; and, perhaps most importantly, whether Hamlet would be morally justified in taking revenge on his uncle. Shakespeare makes it clear that the stakes riding on some of these questions are enormous - the actions of these characters bring disaster upon an entire kingdom. At the play’s end it is not even clear whether justice has been achieved.'

Taken from http://www.sparknotes.com/shakespeare/hamlet/context.html

' There is always more to him than the other characters in the play can figure out; even the most careful and clever readers come away with the sense that they don’t know everything there is to know about this character. Hamlet actually tells other characters that there is more to him than meets the eye - notably, his mother, and Rosencrantz and Guildenstern - but his fascination involves much more than this. When he speaks, he sounds as if there’s something important he’s not saying, maybe something even he is not aware of. The ability to write soliloquies and dialogues that create this effect is one of Shakespeare’s most impressive achievements.'

Extract from an analysis of the character Hamlet, taken from http://www.sparknotes.com/shakespeare/hamlet/canalysis.html

'There is something altogether indefinable and mysterious in the poet's delineation of this character--something wild and irregular in the circumstances with which the character is associated. We see that Hamlet is propelled rather than propelling. But why is this turn given to the delineation? We cannot exactly tell. Doubtless much of the very charm of the play is its mysteriousness. It awakes not only thoughts of the grand and the beautiful, but of the incomprehensible. Its obscurity constitutes a portion of its sublimity. This is the stage in which most minds are content to rest, and perhaps better so, with regard to the comprehension of Hamlet.'

Taken from http://www.theatrehistory.com/british/hamlet001.html

'Hamlet is arguably the greatest dramatic character ever created. From the moment we meet the crestfallen prince we are enraptured by his elegant intensity. Shrouded in his inky cloak, Hamlet is a man of radical contradictions -- he is reckless yet cautious, courteous yet uncivil, tender yet ferocious. He meets his father's death with consuming outrage and righteous indignation, yet shows no compunction when he himself is responsible for the deaths of the meddling Rosencrantz and Guildenstern, and the pontificating lord chamberlain, Polonius. He uses the fragile and innocent Ophelia as an outlet for his disgust towards the queen, and cannot comprehend that his own vicious words have caused her insanity. Hamlet is full of faults. But how is it that even seemingly negative qualities such as indecisiveness, hastiness, hate, brutality, and obsession can enhance Hamlet's position as a tragic hero; a 'prince among men'?'

Taken from http://www.shakespeare-online.com/plays/hamlet/hamletcharacter.html