The Private Eyes (1980). A Don Knotts/Tim Conway comedy vehicle. It's sort of a mix between Sherlock Holmes, and The Cheap Detective, aimed squarely at a family audience. The highlight of the film is a surprisingly risque scene in which Knott's and Conway watch Trisha Noble strip to her underwear, through the eye-holes of a painting. It's a great scene, and Trisha Noble is stunning, but the film is a real stinker. Anyone have more photos, or a clip?

Another family film with a risque ENF scene; The Glass Bottomed Boat. Doris Day is swimming in a mermaid costume when a fisherman hooks her swimsuit, and tears it off. She's left completely bottomless, treading water. No actual nudity, but it's still a good scene.

Here's a great one from the family sitcom; One Day at a Time. Valerie Bertinelli spends the entire episode naked in the bathtub, while people walk in and out, as if it's the most normal thing in the world. The photos are heavily edited. Valerie was 22 at the time this episode was filmed. Thanks to Fango for the original collage.

Bye, Bye Birdie. A beloved family musical, from 1963. Bring the kids. They'll love the songs. They'll love the humor. They'll REALLY love seeing Janet Leigh in her underwear (and Ann Margret takes her clothes off, too).

There's enough "nudity" in The Simpsons to fill an entire thread. Here's a small selection of ENF/covered nudity scenes.

Futurama ENF/EUF/Hidden Nudity.

Mysterious Island. The sequel to Twenty Thousand Leagues under the Sea. It may take place in the 1860's, but Beth Rogan's panties (which are constantly exposed) are from the 1960's. Essentially a kid's movie. To quote Woody Allen; That's a big chicken.

It doesn't get more family friendly than Gilligan's Island. Well, except for the scanty clothing, dissolving swimsuits and the bondage scenes. Honestly now, would YOU want to be rescued from this island?

Yeah, I know these Disney scenes only LOOK dirty, but they're still hilarious.

Fantasia (1940). Lots and lots of nudity.