New anime: http://watchanimeonline.one/watch-episode/hai-to-gensou-no-grimgar-ep-1.html
People trapped in a videogame. A bit of violence.
I actually really like Attack on Titan but it gives me nightmares every time I watch or read the manga. The titans are so uncanny and the subplot about how the titans originated is extremely grotesque. I couldn't eat meat ever again after watching the anime.
I think my favorite anime movie that I've watched in the past two years is Eve no Jikan. It's sort of slice of life and there is no violence.