Ooh... Maybe Re:Zero is your cup of tea. It's probably more serious and intense then Black Butler. It's dark, it's intense, it has a bit of romance, and it's more drama then action but the action is very good. It has a good deal of psychological aspects to it. It's not particularly funny (Comic relief is there, just not that funny). There's no filler as well. However, I really have to press the fact that it's intense. A friend of mine started it and quit because it was just too much. Everything, ABSOLUTELY, EVERYTHING, will go wrong before it goes right. Where it falls off is that the characters are a bit cliche, I guess? Some people mentioned that, like they've used standard characters and the main female character is boring. It has a slow start, a lot of people dropped that anime for that reason, but it picked up fast. Actually this Summer, in Japan, it got the highest rating, so take a look.
You might enjoy D.Grey man, which is probably closer to Black Butler. I don't really remember if it has a good sense of humor. It has the dark goth appeal that Black Butler has if I remember correctly. (I'm going off the manga, and not really the anime.) The anime was dropped, then they made a sequel to the anime, and continued it. I quit the manga because I remember the storyline far later on became hard to follow. (I think, it's been years since I read it.)
In terms of funny action? Gintama takes the crown. Go on Myanimelist, it has the highest rating. All of the arcs are like top then I think. I have to push this one, it's just so stupid, but funny, but also intense. It gets away with so much, you will ask, how is this no sued yet. It's just perfect. Though it's not dark at all (No goth). The storyline is good, and it has filler that's still good. The way it does its story is unique. It does multiple short arcs. And the further you get the better the anime gets so if the first ten episodes aren't appealing I might recommend skipping to like 20. (I seem to remember the first ten are pure character introduction). And like every other manga, it actually manages to keep a small character list (And avoids reviving old forgotten characters), all the while, keeping it interesting. (Looks at Dragon Ball Z, Naruto, and One Piece. There's like over 120 characters in each show at this point.)
That's my recommendations.
