ACT I: The Ghost and Bernardo, Francisco, Horatio - it's not exactly a conflict, but there is much tension between the armed Ghost and the present men, as they don't know who he is and what he wants from them. Denmark and Norway - we learn from Horatio about this conflict. The old king Hamlet fought Fortinbras, the old king of Norway, and killed him. Now the young Fortinbras wants revenge. Claudius and young Hamlet - even in the second scene, we see that Hamlet doesn't like his uncle and his marriage with Gertrude. Claudius even wants to send Hamlet away. Gertrude and Hamlet - Hamlet still doesn't suspect that his father was murdered, but he still loathes his own mother because of the inappropriate marriage with her brother-in-law, only weeks after her husband's death. Laertes and Polonius are suspicious toward Hamlet, as they fear he might use Ophelia and abandon her. The Ghost and Hamlet - Hamlet goes to face the Ghost, not knowing if that is a spirit sent from Hell. It turns out to be his father. The Ghost reveals that Claudius murdered him, building up the tension between Hamlet and Claudius, as well as Hamlet and Gertrude. Hamlet now wants revenge.
ACT II The conflict between Polonius and Hamlet is sharpening. Hamlet is acting strangely, so Polonius sends Ophelia to test him, while he is spying on them. Hamlet's and Ophelia's relationship is affected by conflict as well. Polonius forbade Ophelia to be with Hamlet; the two still love each other, but Hamlet doesn't want to let his love distract him from pursuing the truth. Hamlet is being sarcastic with Polonius and openly ridicules him. Rosenkrantz and Guildenstern are also sent to Hamlet to test him. He sees through their intentions and openly despises them.
Macbeth kills Duncan because the witches first give him the idea, his wife gives him the plan, and both (idea and plan) reinforce his blind ambition to be king.
