I've watched tons over the years. I've come a long way from my Lupin the III and InuYasha days, lemme tell you.
But nowadays I'm...really, really picky about what I watch. Because of that, I don't have a lot of new things I like to watch. I mean, I re-watch Natsume Yuujinchou and Prince of Tennis when the mood strikes. Right now I'm re-watching xxxHolic, for example. I think the newest anime I've watched this year and last are Erased, My Hero Academia, and Ajin.
My list is always, always limited because I rarely watch romance/shoujo and I pretty much despise over-done fan service, regardless of for whom the fan service is intended. (It's what has kept me from Free and Yuri on Ice, though if someone can give me some pros I would love to hear them because I'm curious about the shows. Tumblr can ruin anything, lol.)
As for manga....I haven't read updates in a while, but I took off work until Jan. 2nd starting next week, so I'm definitely going to go catch up/discover some stuff. (Last manga I read/is ongoing is The Morose Mononokean. I forgot about it, haha, so it should have maybe two or three updates by now.)
I'm kinda ok watching bad animes too, though I have genres that I avoid a bit or at least I'm less interested in (romance and ecchi for example). When I watched less I was more picky, but I often times don't like to leave animes in the middle so I will watch what I started xd
I get that about fanservice, for me it can be quite lot too and I have dropped some shows for ecchi, especially if there is "loli" stuff in it, just bit umcomfortable.. In other hand Yuri On Ice!! and Free!: Eternal Summer are in my top 5 animes so I guess I could say something for their defense. Cause while the two have quite lot of fanservice, they are also damn good shows. Also I think for both of the shows it's probably better to just look the fanservice as comedy rather than something sexy, since it's mostly pretty ridiculous, especially in Free!.
Yuri on Ice!!: So the fanservice of the show which was bit eeh not interested for me in the start, evolves later into romance so what you will see is the romance rather than fanservice. YOI!! to me is really good show in terms of sports (got me interested of ice skating as sport and back to my skates as well, also YOI!! is supported by tons of actual ice skaters around the world so it's pretty accurate in terms of the sport), romance (one of few animes with lgbt rep), mental health content, inspirational in terms of the main character and his struggle.. I think the anime is just great as sport anime, romantic anime, and slice of life and drama anime, it's kinda all of them. And well comedy anime too ^^ (and love the music).
Free!: So free! currently has 3 seasons, second one is my fav. Third one was kinda boring to me, but upside(?) no fanservice. Free!'s two first seasons seem to be divided in two parts, first part you get comedy and fanservice, second part you get conflict and emotional weight as well as character development. I think Free! is quite good in terms of comedy and then showing hardships of growing up and character growth of the characters. I think it's quite easy to get invested in to boys.
I don't think either one is for those who mostly watch shonen, action or fantasy, since they are tied into real life and the stakes and emotional weight they have are quite related to IRL as well. But I think they are quite good as sport animes (YoI lot better on sports, Free!'s third season is sport focused but others aren't to me) and drama animes.