I started watching this with my 9 year old son. The series is very entertaining for him and me and we will continue to watch it. I appreciate that the series was progressive for the era, but this show reminds me how far we've progressed since then.
I forgot that the series isn't all about spaceships, exploration and aliens, and *whoa* I wasn't quite prepared for some of the content. I don't have a problem with my children watching positive (but age appropriate) sexual role models, which in my mind means people hugging, kissing, a little passion and treating each other with respect and acting maturely. However, Star Trek is almost comical in it's 1967 view of woman as sexual creatures. Watch out for the outdated sexual stereotypes-- all women wear sexy miniskirts, and two out of three of the main woman characters are assistants to men and often do little except stand there and look attentive, such as Yeoman Rand nor Nurse Chapel. Uhura's shapely legs are often framed quite conspicuously and wow are those skirts short. We're only on episode 8, and I've already had to pause and talk about the sexual allure presented in "Mudd's Women", Charlie slapping a woman's rear and the almost-rape scene in "Charlie X", and in "The Naked Time" why does Yeoman Rand need a man's help (Spock) to get past the drunk man into the elevator when I'm sure she's strong enough to figure it out on her own, etc. These topics are presented in an innocent and light way, as was appropriate for television in 1967. But I had to pause the show a couple of times and comment about why those things were wrong and 'outdated'.
And I'll tough briefly on the male stereotypes: men must always present a strong, tough face to the outside world. Forget your true emotions, let's fix this with a fist fight! While the women seem lose their heads too often, men are always able to be strong and quick and can fix any problem.
Clearly each episode tells us a moral story, but the moral may not be understood by some children.
Other then that, we've seen about 5 corpses. I guess it's okay for a 9 year old to see that, and he's seen worse elsewhere, and I can't shelter my kids forever, but I'm not sure I feel good about that.