Focus on your values and morals, cultural fit and personal traits relevant for the job. If you are going for a job as a nurse, show that you are compassionate. A journalist might be inquisitive and a judge might have a highly-tuned sense of social justice.
Don't go overboard or it will sound like you lack credibility. Once again, be honest while also showing how well you as a person are a perfect match for the role you are applying for.