"Out of her favor where I am in love." (line 163, page 635) Romeo is depressed because he loves a girl, but she does not love him back. This is a prime example of a Man vs. Self conflict.
Man vs. Man
"And for that offense, immediately we do exile him hence." (line 185, page 686) When the Prince bans Romeo from Verona, Romeo did not have control over his decision. In this case, it was his 'fate'.
Man vs. Society
Wherefore art thou Romeo?
"Wilt thou be gone? It is not yet near day. It was the nightingale, and not the lark..." (line 1, page 698) Juliet struggles against nature when she thinks she hears the nightingale. She wants the night to last because she is with Romeo.
Act 4 Conflict
"Draw Benvolio; beat down their weapons. Gentlemen, for shame! Forbear this outrage!" (line 84, page 682) In this scene, Romeo attempts to step in between the fight with Tybalt and Mercutio. The fight is a Man vs. Man conflict.
"O Romeo, Romeo! Wherefore art thou Romeo? Deny thy father and refuse thy name." (line 34, page 659) Juliet is against society when she falls in love with Romeo Montague. Their families are in feud, but she still loves him.
"What if it be a poison which the friar subtly hath minist'rd to have me dead?" (line 24, page 715) When Friar gives Juliet the vile, she questions whether or not it is a poison he is using to kill her. This is a Man vs. Self conflict.