I have two right now.
The Ancient Magnus Bride. Which has a lot to like.
And Dog and Scissors which is hilarious.
Ancient Magus Bride, I've been reading the manga of that. *Mostly* the same but I think the ending to the anime is different, though not in a drastic way.
Easily my favorite manga right now.
Now, as for anime...
Yeah, there's a sort of "sexy" aspect to the opening, but the anime itself, though short, is a very serious sort. And more than a little violent and disturbing. This is old-school anime (which is the sort I like most, and what I grew up with)... this was LONG before everything had to be harems and fanservice. Despite how she is dressed and the nature of the opening, the series has zero focus on that. It actually deals with elements of prejudice and similar things. Zero comedy whatsoever. The main villain is very... disconcerting. This series, I saw it back in highschool, and while it isnt THE one that got me into anime, it's one of the ones that sure helped.
And this is more recent. I watched through this series (though not the recent season that FINALLY happened) and quite liked it despite that I tend to dislike certain trends in recent anime. This was my favorite scene in the whole thing. I like that character, and it was one heck of a total curb-stomp fight. And that giant clock thing is just awesome. I love anything with lots of spinning gears or chains. Or spinning gears attached to chains. No, I dont know why. Also her abilities are just so freaking odd. Not many characters fight by repeatedly shooting themselves. And usually when they do shoot themselves, it doesnt summon time clones (though she doesnt do that in this clip as it's not the entire fight). Whole series is quite strange.
There's also Tokyo Ghoul. Recent, and another serious one. I'd show a clip, but that's a bad idea. It's a *very* bloody and dark series. I tend to like horror series, but they're oddly rare, when it comes to anime. There was one particular scene, which I wont describe, that I frankly could barely even look at. Normally I *never* get affected by blood/gore in anime. But that scene was a special exception even though it wasnt very bloody. Ugh. I get anxiety just thinking about it. But other than that unholy nightmare of a scene, it's a good series. Depressing as heck, but good. I havent gone all the way through it yet.
