When possible, research the needs of the company by looking at the job openings. Look on Glassdoor for information about the company. Search LinkedIn for the company name and try to draw out an organizational chart. This will help you see the possibilities in that organization.
You may want to choose a position two levels separate from the one you're applying to. For example, a supervisor would be one level above yours, and a manager would be two levels above yours. This indicates to the interviewer that you have a low probability of leaving the job and a high probability of staying with the company.
Otherwise, you can choose to speak on a certain aspect of the job that interests you. Connect your interest with key traits that you have and skills that you're good at.