While it has been said that video killed the radio star, it may be extrapolated as video stepping over family-friendly viewing.
With the influx of video content (streaming, home movie), we, like most family, deal with consumption of entertainment. At home we manage appropriate content to be consumed. We place family filtering and operate with time boundary. Content is obviously the first and foremost of the dominoes.
I am no expert, but I like to be hands-on. Here are some of my take.
I pay attention to the rating and also the country of issue. If the video content is streamed, which is pretty much from overseas, look out those with the rating of PG-13 from US and IIA/IIB from Hongkong. This also applies to DVD purchase from oversea.
Rating is not bullet-proof. I have made mistake by letting certain content getting through. They are kids' packaging but with adult theme. There seems more of them nowadays. As film production becomes more thoughtful with multi-layered content and packaging becomes arguably deceptive, an average dad like me finds it harder and harder to differentiate.
My latest take is spending time going through the content first, before showing it to family. It will be great if review is available, otherwise the process does consume time.