I'm a little late to the party but hopefully I can still weeb out.
Top animus for myself are Gurren Lagann and Kill la Kill.
I also liked Gatchaman CROWDS, which is one nobody here's probably heard about. Here's the "review" that convinced me to watch it.
It's like an action anime that constantly (or rather,
usually) resolves problems without fighting. It's a weird take, but they manage to make it work. I'd recommend it.
There's also Cromartie High School, a comedy which features anime Freddy Mercury. It really does.
I've tried to watch really popular ones like Evangelion and Attack on Titan, but they seem to rely on gore/shock value. I've talked to a few people about Attack on Titan and we can all agree that the series got a little stupid when (the forum doesn't support spoiler text so this next part is in white, close enough)
it was revealed that some humans can turn into Titans.
Oh, and for bad anime, I'd recommend No Game No Life. The summary should explain itself: "Sora and Shiro are unemployed and never leave their house, but on the net, they're known as "Blank", an invincible team of gamers. One day, these siblings are visited by a boy named Tet, who calls himself god. Tet summons them to a world where all war is banned, and everything is decided by games." They're a brother/sister duo, and the sister's definitely lolita. It's also got some direct videogame references, like Civilization for example.