Anchía was elected to the Texas House in 2004 and sworn into the freshman class of the
79th Texas Legislature on January 11, 2005. The district Anchía represents is fully encompassed within
Dallas County,
Texas, and includes
North Oak Cliff,
Oak Lawn, portions of
West Dallas, the Medical District,
Love Field Airport, North and Arlington Parks,
Irving, and
Farmers Branch. As of 2015, he was 35th in seniority out of the 150 members of the Texas House. Anchía is the Chairman of the House Committee on Pensions, Investments, and Financial Services. In previous sessions, Anchía was vice-chair of the Pensions, Investments and Financial Services Committee and sat on the Economic Development, Elections, Financial Institutions, Land & Resource Management, Local & Consent Calendar, and Urban Affairs Committees. Anchía is a supporter of "
New Urbanism" and using both fossil fuels and renewable energy. ==Personal life==