WORTH NOTING ON TV

* SATURDAY

Sugartime (HBO, 8-10 p.m.): The notorious and unlikely romance between mob boss Sam Giancana and popular singer Phyllis McGuire is dramatized in this HBO Pictures' presentation, starring John Turturro (''Quiz Show,'' ''Barton Fink'') and Mary-Louise Parker (''Bullets Over Broadway,'' ''Fried Green Tomatoes''). Turturro and Parker give fine performances, though the content exempts it from ''family viewing'' fare.

* SUNDAY

The Revolutionary War (The Learning Channel, 9-11 p.m., Episodes 1 and 2): What happened when a legion of courageous people set out to forge a new nation in the late 18th century? The Learning Channel kicks off this miniseries on how American Colonists defeated the British and ushered in a democracy. Charles Kuralt is perfect as narrator for this insightful series. (Episodes 3 and 4 air Monday; Episodes 5 and 6 on Tuesday.)

Groundhog Day (ABC, 9-11 p.m.): Bill Murray stars in the network premiere of a movie about a TV weatherman who finds himself in a time warp reliving the same day over and over. Andie MacDowell is his producer/love interest.

A Family of Cops (CBS, 9-11 p.m.): Charles Bronson stars in this new action drama as a Milwaukee police chief whose family becomes enmeshed in a murder case when his youngest daughter is accused of killing a multimillionaire.

* MONDAY

The Clio Awards (FOX, 9-10 p.m.): Josie Bissett (''Melrose Place'') and Jon Cryer (''Partners'') host the 1995 Clio Awards, honoring the best in television advertising.

Idols of the Game (TBS, 8:05-10:05 p.m.): This three-part series looks at how America defines itself through its sports heroes. Part 1 features Babe Ruth, Jackie Robinson, Arnold Palmer, Jim Thorpe, and Muhammad Ali. Part 2, airing Tuesday, tackles the uneven playing field between the sexes. Part 3, on Thursday, takes a hard look at love versus money.

Please check local listings for these programs.