"There are many comic moments in Shakespeare's 'Hamlet'." Discuss this statement, supporting your points by reference to the play.
Any points I could start from? Because I never really found it that funny..
I agree with you that Hamlet is not a very funny play; still, it has some humorous moments.
One moment is in Act III Sc. 2, the "play" scene. Before the play begins, Hamlet asks Polonious if he has ever acted when he was a university student. Polonious answers that he once played the part of Julius Caesar:
I did enact Julius Caesar; I was killed i' the Capitol; Brutus killed me.
Hamlet replies with a humorous insult:
It was a brute part of him to kill so capital a calf there.
His reply includes a play on the words Brutus/brute and capitol/capital, and the insult of referring to Polonius as a calf. In general, you will find some humor in many of the scenes involving Polonius.
The most humorous part of Hamlet is probably Act V, Scene I. The scene begins with a discussion between two "clowns" who are digging a grave for Ophelia, who has committed suicide. The clowns engage in a convoluted discussion about whether a suicide victim should be granted a "Christian burial." Part of the humor is in the clowns' mispronunciation of legal terms: "se offendendo" for se-defenden-do [in self-defence], and "argal" for ergo [therefore].
The clowns continue by posing riddles to each other. The answers to the riddles are grave-digging and gallows maker. The scene continues with the appearance of Hamlet and Horatio, who exchange some jokes with the grave-digging clowns.