A pre-”Dallas” Larry Hagman is a guest...

A pre-”Dallas” Larry Hagman is a guest on The Rockford Files (Monday at 3 p.m. and Tuesday at 10 a.m. on A&E;); coincidentally, the episode is a tale of intrigue in the oil industry.

Oscar-winner Mercedes McCambridge (“All the King’s Men”) plays a witch who causes havoc for Samantha and Darrin on Bewitched (Tuesday at 5:35 a.m. on TBS).

Nick at Nite presents its annual 1992 Rerun Countdown (Thursday, beginning at noon on Nickelodeon), featuring the most popular TV Land episodes of this year. The No. 1 rerun of 1992 will air at midnight.

If you don’t care for parades or bowl games, you can spend New Year’s Day watching some of the best-loved sitcoms in TV history. TBS is paying tribute Friday to “The Munsters,” “Gilligan’s Island,” “The Beverly Hillbillies” and “The Andy Griffith Show.” Kicking off the retrospective is The Best of the Munsters, (7:05 a.m.), featuring Grandpa (Al Lewis) waxing nostalgic about the ghoulish sitcom. Next, Alan Hale Jr. is the host of TBS Remembers Gilligan’s Island (9:05 a.m.), a look back at some of the more memorable episodes of the sitcom. Buddy Ebsen is the host of TBS Remembers the Beverly Hillbillies (10:50 a.m.), featuring the episode, “The Indians Are Coming,” with guest-star John Wayne. In a repeat from 1985, Don Knotts is the host of The Andy Griffith Silver Anniversary Special (12:35 p.m.). It’s followed by another repeat, 1990’s Thirty Years of Andy: A Mayberry Reunion (2:15 p.m.), featuring four beloved episodes, including the first. Knotts, Betty Lynn, Hal Smith and George Lindsay are the hosts.

Also on New Year’s Day, the Family Channel will present 10 hours of vintage episodes from the classic NBC Western, Bonanza (Friday, beginning at noon), including “Lothario Larkin,” “The Debut “ and “The Meredith Smith Story.” The 10 stories are part of “Bonanza: The Lost Episodes,” a package of 120 shows which were not placed in the original syndication packages and discovered years after the series left the air.

Phyllis has a “platonic” relationship with a younger man (John Saxon) who develops an interest in Mary on The Mary Tyler Moore Show (Friday at 9 p.m. on Nickelodeon).