A good way to access an alphabetical list of TV actors is to visit Wikipedia's category page for American television actors. The website provides lists for both male and female actors. As of November 2015, the male list contains 8,574 people and the female list contains 6,511 people.
Each name on both of the Wikipedia actor lists links to a separate page about the actor. Visitors can also view lists of actors that fall into specific categories, such as soap opera actors or Mouseketeers.
Several other websites provide smaller lists of television actors, including IMDB and Ranked.com, but the lists are not comprehensive.