Kroll Show 10:30 p.m., Comedy Central

This new hit-or-miss sketch series is “League” comedian Nick Kroll’s own “Portlandia,” except he’s focused more on stupid people from around the world, not the good folks of the Pacific Northwest. Each episode jumps among plots and characters (most played by Kroll), in the manner of Tracey Ullman’s shows. My favorite bits in the premiere are part of a reality show about a company called PubLIZity, featuring two repulsive women named Liz (Kroll and Jenny Slate, pictured) who get dramatic about the cupcakes at an event. “Sex in the City for Dudes” — yes, “in” — is less successful, despite the presence of Ed Helms and Adam Pally.

American Idol 8 p.m., Channel 25

After months of pre-pre-pre-publicity about The Minaj versus The Mariah, “American Idol” returns. Will the wrestling-style diva battle bring in viewers? The show has steadily been losing ratings ground and cultural import, as the winners have become less distinctive and as “The Voice” and “The X Factor” have stolen its thunder. By the way, Keith Urban and Randy Jackson are also on the judges panel, too. Pictured (from left): Jackson, Mariah Carey, host Ryan Seacrest, Nicki Minaj, and Urban. (For more on “American Idol,” see Page 3.)

Ghost Mine 10 p.m., Syfy

Some people dig wraiths.

Baggage Battles 9 p.m., Travel Channel

A.k.a. marriage.

Long Island Medium 8 p.m., DFH

She used to be an extra-large. Boom.