Some questions don't fit neatly into a job competence category, but are commonly-asked to give you a better feel for the candidate. These questions routinely focus on applicants' abilities to perform a self-analysis of their skills and on their expectations coming into the job.
• What skills do you enjoy using most? Why?
• What is your greatest strength, and how do you take full advantage of it?
• What's the greatest asset you currently bring to your company?
• What is your greatest weakness, and what have you done to overcome it?
• Why should I hire you?
• What makes you stand out among your peers?
• If you started working for us tomorrow, what could you contribute immediately?
• Are you familiar with the corporate culture here? How do you think you'll fit in?
• What would be the ideal way you'd envision spending your first day here?
• What do you feel an employer owes its employees? How about what employees owe their employers?
• Paint a picture of the corporate culture you'll create if we hire you. Do you operate under a more centralized and paternalistic agenda with power centralized in the hands of a few, or do you constantly push responsibility and accountability down the line?