Comment Evidently they do exist (Score 1) 396
A quick Google search turned up this article. It gives the names of two people who were asked for passwords, one by a prospective employer (he refused and withdrew his application) and one by an employer he was returning to (he gave his info because he felt he had to). For the second of those, it names the employer: the Maryland Department of Public Safety and Correctional Services. Evidently they stopped asking for passwords after complaints by the ACLU.