When a nostalgia-driven outlet like TV Land sets about “exploring riskier and more challenging content,” as one of its executives recently put it, you might wonder what specifically that means. On Wednesday night, the picture clarifies with the premieres of two comedies. It means, apparently, new shows that feel like the vintage series TV Land loves to rebroadcast, but with gay characters and the occasional penis joke.

These offerings are “The Jim Gaffigan Show,” which is quite funny, and “Impastor,” which has an amusing premise and a likable star but burdens itself with off-putting caricatures and stereotypes. They join “Younger,” a solid comedy introduced in March, in expanding the vision of TV Land, whose airtime is full of recycled fare like “Gilligan’s Island” and “Bonanza.”

Mr. Gaffigan has a sizable following from years of stand-up comedy, and his fans will certainly be well served by the new series, which depicts a fictionalized version of his domestic life. Ashley Williams plays his wife, Jeannie, and the two make a very convincing couple. They are raising five young children in a too-small New York City apartment. The regulars in their lives include Jeannie’s gay former boyfriend, Daniel (Michael Ian Black), and Jim’s fellow comedian and pal Dave (Adam Goldberg). Lots of amusing cameos add to the fun.

Mr. Gaffigan’s stand-up material sets him apart from the provocative comics who command attention today; he likes jokes about food and family and schlumpy fatherhood. And — although no one wants to be compared to Bill Cosby at the moment — “The Jim Gaffigan Show” certainly owes a debt to series that have starred men who bent stand-up careers into family sitcoms: Mr. Cosby, Tim Allen, Ray Romano. Mr. Gaffigan may not be the greatest actor, but he has a genial charm, which is the first prerequisite to making a show like this work.