Live in Front of a Studio Audience: All in the Family and Good Times is set to air on Dec. 18 at 8 p.m. EDT.
The first live special, which paired All in the Family with The Jeffersons, aired in May.
Harrelson portrayed Archie Bunker with Tomei as Edith Bunker, Kemper as Gloria Stivic and Barinholtz as Meathead.
The special will recreate classic episodes of both All in the Family and Good Times, both developed by Norman Lear.
Washington teased in November on Kimmel's talk show that the new special will feature a number of surprises for fans.