The sketch-comedy master David Mitchell (“Peep Show,” “That Mitchell and Webb Look”) plays it straight, more or less, in this quirky mystery series, which was rapturously received in Britain. He is Ludwig, a maker of puzzles, whose twin brother, a detective, disappears; to solve the case, Ludwig assumes his brother’s identity and his job. The happily ubiquitous Anna Maxwell Martin plays the detective’s wife. (BritBox, March 20)

‘The Residence’

Shondaland returns to the White House for the first time since Shonda Rhimes’s “Scandal” premiered in 2012. This new series, created by Paul William Davies, a writer and story editor on “Scandal,” is a murder mystery with a comic edge starring Uzo Aduba and Randall Park as cops investigating a death during a state dinner. (Netflix, March 20)

‘Wolf Hall: The Mirror and the Light’

A decade after the BBC’s “Wolf Hall,” Mark Rylance and Damian Lewis return as Thomas Cromwell and his difficult boss, Henry VIII, in an adaptation of the final novel in Hilary Mantel’s Cromwell trilogy. In the Henry chronology, it comes after the beheading of Anne Boleyn and, assuming it follows the book, will proceed inexorably toward another execution. (PBS, March 23)

‘Your Friends & Neighbors’

A decade after “Mad Men,” it’s dark secrets in the suburbs again for Jon Hamm. This time he plays a fired and divorced hedge-fund guy who starts breaking into the houses of his wealthy neighbors, in a drama created by Jonathan Tropper of “Warrior” and “Banshee.” (Apple TV+, April 11)

‘Andor’

The thinking person’s “Star Wars” series finally returns for its second season. The really exciting news: Alan Tudyk joins the cast as the acerbic droid K-2SO. (Disney+, April 22)

Other returning shows: “Animal Control” (Fox, Thursday); “Vera” (BritBox, Thursday); “The Way Home” (Hallmark+, Saturday); “RuPaul’s Drag Race” (MTV, Friday); “Solo Leveling” (Crunchyroll, Saturday); “Astrid” (PBS Passport, Sunday); “Vienna Blood” (PBS, Sunday); “Anne Rice’s Mayfair Witches” (AMC, Sunday); “Antiques Roadshow” (PBS, Monday); “Finding Your Roots” (PBS, Tuesday); “The Rookie” (ABC, Tuesday); “Will Trent” (ABC, Tuesday); “The Traitors” (Peacock, Jan. 9); “The Upshaws” (Netflix, Jan. 9); “Alpha Males” (Netflix, Jan. 10); “Goosebumps: The Vanishing” (Disney+, Jan. 10); “All Creatures Great and Small” (PBS, Jan. 12); “Miss Scarlet” (PBS, Jan. 12); “Rogue Heroes” (MGM+, Jan. 12); “Harley Quinn” (Max, Jan. 16); “XO, Kitty” (Netflix, Jan. 16); “Sisi: Austrian Empress” (PBS Passport, Jan. 17); “Father Brown” (BritBox, Jan. 23); “Harlem” (Amazon Prime Video, Jan. 23); “The Night Agent” (Netflix, Jan. 23); “Eva the Owlet” (Apple TV+, Jan. 24); “Mythic Quest” (Apple TV+, Jan. 29); “Mo” (Netflix, Jan. 30); “The Recruit” (Netflix, Jan. 30); “NCIS: Sydney” (CBS, Jan. 31); “Funny Woman” (PBS, Feb. 2); “Invincible” (Amazon Prime Video, Feb. 6); “Sweet Magnolias” (Netflix, Feb. 6); “Cobra Kai” (Netflix, Feb. 13); “Yellowjackets” (Paramount+, Feb. 14; Showtime, Feb. 16); “Reacher” (Amazon Prime Video, Feb. 20); “Surface” (Apple TV+, Feb. 21); “1923” (Paramount+, Feb. 23); “Dark Winds” (AMC, March 9); “The Wheel of Time” (Amazon Prime Video, March 13).