Sometimes, the big shot you could never reach by phone answers your e-mail the same day. Check out features in local magazines and newspapers about fast-growing companies, new product introductions, and profiles of notables. Look for interesting company T-shirts. We're only half-joking. It's a good sign if an employer creates cool T-shirts for its employees.
Many government agencies outsource much of their work to contractors.
Check out your field's category in the Yellow Pages. Sometimes the employer's description in the ad calls out to you. Don't ignore your current employer. It's usually easier to have your present job tweaked to fit, get a transfer, or even get an in-house promotion than to convince some stranger to give you the perfect job. But be sure to ask before spilling your guts.