"Mom" and "Mike & Molly" come from the factory of writer-producer Chuck Lorre, whose "Two and a Half Men" just ended a 12-year run on CBS.
"Mom," now in season 2, stars Janney as a recovering alcoholic struggling to reconnect with her adult daughter (Anna Faris).
"Molly," with McCarthy opposite Billy Gardell, will head into season 6, making it one of the longest-running comedies currently on TV.
"Girls," with Kat Dennings and Beth Behrs, overcame intense early criticism about raunchy humor and ethnic stereotyping and will enter season 5 in the fall.
CBS already has taken care of its biggest comedy hit, "The Big Bang Theory," which was previously renewed through the 2016-17 season in a three-year deal.
That leaves only a couple of existing series whose fate is to be determined.
A reboot of "The Odd Couple" just started its run and it's too early to get a reliable read on its prospects.
Meanwhile, the critically unloved family comedy "The McCarthys" was yanked in February and probably won't be back.
In May, CBS will unveil its full fall lineup, including any new comedies it picks up.
What do you think of its current comedies?