I haven't watched much from this season yet, but Kyoukai no Kanata is great. Bit more action-oriented than their usual work...almost seems like a more serious Chuunibyou...
As for the list of less than chauvinistic anime, you can add:
Noir
Requiem for the Phantom
Madlax
El Cazador de la Brujah
All by Bee Train. Fan service is there, but light, and except for Requiem have female protagonists exclusively - and in Requiem, the female is more physically competent than the male lead, and they both more or less become each other's emotional crutch due to the fact that they are both psychologically fucked up.
Let's also add:
A Certain Scientific Railgun
ef; both seasons
Baccano! (you had Durarara, but not this? XD)
Black Rock Shooter
The Melancholy of Haruhi Suzumiya (God is a girl, and the most competent other character is also female...ish. Sure, they're not the "lead" characters, but Haruhi is the plot motivator and Yuki is pretty close behind.)
Myself;Yourself (at least half the plot revolves around the twins, who are a balanced male/female pair, and the female protagonist is not exactly weak herself; in fact, all female characters are treated as people with motivations and desires)
Kill Me Baby (comedy, but again, female protagonists)
Psycho-Pass
Noein
Senkou no Night Raid
Witch Hunter Robin
I'd be inclined to include:
Persona 4 (but the Animation is not as good as the game, in terms of having...proper character development for the girls, or letting them kick ass themselves)
Sword Art Online (again, except that the anime, and definitely ALO arc, turn Asuna into a damsel in distress, and the other girls aren't given much respect/development except as love interests. But in the novels Asuna is ONLY portrayed as a DiD in ALO; after that she kicks ass again)
Monogatari series (they may be high on the fanservice scale, but the girls DO all have unique, explored personalities and are shown in later stories to be their own protagonists; Koyomi only gets all the limelight in Bakemono because he's the narrator).
Chuunibyou Demo Koi ga Shitai (marginal, as it's harem-y; though honestly the MC was always going to be paired with the female lead, and not much challenged that, so it's not really a harem show. Just feels a bit light on the female independence...nah, it goes on the list)
And if you're not limiting to series:
Arriety
Howl's Moving Castle
The Girl Who Leapt Through Time
Spirited Away
Princess Mononoke
Which is like...44 out of 95 anime on my anime list. That is, in all cases, taking separate MAL entires as separate instances, for both the "not chauvinistic" shows and the "chauvinistic/N/A" shows. I don't have all the anime I've watched on MAL, but that's a pretty hefty percentage. 46% in fact.
So what we just established is that I watch a lot more not-chauvinistic shows than BL does.
Or that my definition of not-chauvinistic shows is broader. Either way, I don't think it's as bad as you think. Anime has some horrendous stereotypes, and some shows are just plain WRONG in the way they portray women/girls, but most media is skewed towards male empowerment. It's a product of the general bias in society, and Japan has gender roles a lot more ingrained, I think, that the West does.
I'd certainly suggest that I tend to avoid shows which are blatantly over-the-top stupid in their portrayal of ANY character, but that a lot of those are more likely to be bad portrayals of women than of men, and that anime does indeed have a bit of an issue with portraying women as anything other than damsels in distress. You've just got to be picky about what you watch. 90% of everything is shit, etc, etc. I wouldn't put it on the same tier as video games...though I can't speak for the fan base when it comes to how they might act towards women. I've heard that it's WORSE than video games, and I've heard that it's not as bad as you might expect, so it could go either way, but probably depends on the show and the location.
But seriously. Every entertainment medium has this problem. Anime has it worse than most, for a medium which has been around mostly during a period of increased awareness of gender equality issues, but again, that more reflects the society it is developed in, the perceived target audience, and so forth, than anything else; just like the problem with video games being "for guys". It'll change when the social perspective changes, or when the industry wakes up to a broader target audience; which some shows already acknowledge.