The main reason feminists don't like him wasn't the cop story, it's the chapter in his book (I forget which one) where he describes how he could go into a bar and always leave with a woman to sleeop with, simply by treating her horribly, like she was worthless.
Feynman had a lecture series which made complex science understandable. It included a great set of articles about light wave propagation which had me briefly thinking I understood interference patterns.
Also, one of his books includes an appendix discussing his part in the investigation of the Challenger shuttle disaster of 1986.
He describes sitting in a meeting, dropping an o-ring in his glass of ice water, pulling it out and breaking it on the table.
He also spends a chapter talking about experiments with ants, and leaves you hanging elsewhere with an experiment at college where a hose hooked to a common revolving sprinkler is submerged in a tank. After pointing out that water shot through the hose into the tank caused the arms to rotate in the expected direction, he challenges you to say which way it would rotate if you instead did something else, it was either sucked water out of the hose, or pressurized the water in the tank to push the water out of the hose.
I'll have to dig up the book again now.
Feminists hate it because it's true!