In addition to the above, in Shakespeare's Macbeth, each of the characters has an additional internal conflict.
Banquo also struggles with his knowledge of what the witches told Macbeth. He knows what the witches predicted, so he suspects Macbeth of treachery. Yet, Macbeth is his friend and he has no proof. Banquo says when he opens Act 3:
Thou has it now--King, Cawdor, Glamis, all
As the Weird Women promised, and I fear
Thou played'st most foully for't.
Lady Macbeth, too, struggles with an additional inner conflict. When she pleads with the "spirits" to "unsex" her, etc. (Act 1.5), to make her more aggressive and pitiless like a man, she is actually revealing an inner conflict. As evil as she seems to be, she doubts her own ability to go through with the assassination. The fact that she feels the need to plead to be changed in order to kill Duncan, suggests that she actually doubts her own ability to do so. And, if fact, she can't go through with it. Even though she doubts her husband's ability to go through with the murder, when she has a chance to do it herself she cannot--the sleeping Duncan reminds her of her father: pretty sentimental for someone thought of as so evil, as Lady Macbeth often is.
Finally, Macbeth struggles with Duncan's humble nature and his fairness as a king (Act 1.7). At one point, he decides not to kill Duncan because of the kind of ruler Duncan has been. Of course, the threat of eternal damnation plays a part in his decision, too. Either way, however, Macbeth suffers from a specific inner conflict in Act 1.7.