Federal Employees Responsible Investment Act - Establishes the Corporate Responsibility Stock Index Fund as an investment option under the Thrift Savings Fund. Directs the Federal Retirement Thrift Investment Board to select a minimum of one index for such Fund comprised of stocks that have been analyzed and selected using basic criteria, including corporate governance, environmental practices, workplace relations and benefits, product safety and impact, international operations and human rights, involvement with repressive regimes, and community relations.