Let's be honest, all the netflix plans will have ads just like they do now. They might not interrupt your show while you're in the middle of it, but you'll get ads no matter what. Ads as soon as the credits roll, a barrage of full screen ads if you pause a show for more than 10 seconds, full screen ads the moment you open the app, etc.
Netflix Plus (Netflix+) which is a side subscription to all of that which lets you syncopate different playback screens to one account, or some other esoteric value add which muddies the waters
I don't find Netflix "live action" movies to be super violent and there are a lot of non-violent shows. Its animations can be quite violent though (and those are good quality). From the little I know, it, like every other big platform, does shy away from sex. This has been a theme for decades - its ok to be violent but sex is a no no.
HuFlixPrime was my portmanteau of choice in 2010-ish but mainly because I felt the coming dawn of cable company style pricing encroaching; more and more folks adding multiple streaming services to get close to what cable packages could offer.
I still like the name.
Edit:
didn't Netflix have a feature called "Netflix Max" on the PS3 app? I remember it really liking it to find what to watch.