Another good way into a character analysis paper is to ask the question, "What kind of person is John Proctor (or Elizabeth or Abigail, etc)?" If you can think of three good answers to your question, you have the basic structure of a 3-point essay (an essay with an introduction, a conclusion, and 3 main body paragraphs).
Another good subject for a literary essay is conflict. Can you identify 3 different conflicts or 3 different kinds of conflict? For instance, if you can explain a man vs. man conflict, a man vs. himself conflict, and a man vs. society conflict developed in the play, you will again have the basis for a 3-point essay.
Finally, you could write an essay about 3 main ideas in The Crucible or 3 examples of irony found in the play.
Whatever topic you choose, be sure to explain your thinking and support it with specific examples from the play. Good luck!
Is there are specific type of essay you are supposed to write? If not, a good place to start with "The Crucible" is a character analysis. Decide what the motivation of any character is, then provide evidence of how you know that. If you are up for more of a challenge, try comparing the witch trails to the McCarthy hearings.
This is simply easy, involve character analysis alongside the comparison toward gender benefits being unfair laws and inaccurate allegation along with evidence. And the difference towards timeline in comparison to modern periods.. etc.