It's been a while since I watched anime with my mom. She does think that some of them are pretty violent but she also know it's not all about that. My big bro and youngest older sister also watch anime since they were kids so yeah. My oldest older sister doesn't watch anime anymore, but since she grew up in France, she still saw some when she was little and know quite a bit about it. Everyone in my family saw some eps if not all eps of Grendizer, City Hunter, Ranma 1/2, Sailor Moon, Saint Seiya etc
I don't watch anime together with my bro and youngest older sis as much as we did 10 years ago or so when Gundam Seed was airing. Back then, my bro downloaded episodes of things and we used to watch everything together. We still do it from time to time but now it's more like each one of us DLs what he wants to see and watch it alone.
Usually these days I only watch stuff with my sis as my bro is busy with work and watches more american shows than anime when he has free time.
This season the only thing we all watched together is the 1st episode of Saint Seiya Omega iirc. I hope we'll watch the rest together too, I've been purposely not watching it so we can all watch it together. I do that often nowadays. That's also one of the reasons I don't watch stuff asap when it airs and am sometimes perceived as someone out of the "loop" or something on IRC and stuff like that. LIke if anime is fashion or something, but I'm getting sidetracked there.
Last show I watched with my sis is Level E, we finished watching it a week ago or so.