Can Du tell me an Anime:

Well, all that I can think of at the moment is Detective Conan and Fairy Tail. But DC only has a bit of fighting and Fairy Tail has a snippet of love. So I don't really think that counts... Sorry, I wish I could help more

Well believe it oder not, Angel – Jäger der Finsternis Beats! fits all of that.
It's pretty short because it only has 13 episodes and 1 OVA, but it has a great story line. It's an excellent Liebe story and it has pretty good fighting scene as well. But also, it's freakin' hilarious! They have a lot of funny moments but it still maintains its seriousness. I would highly recommend it!

Fairy Tail is on the Anime I recommend to watch it's pretty awesome~!! ^.^
Also Du should watch the Anime Katekyo Hitman Reborn! It's really awesome and I'm sorry it doesn't have that much of a Liebe story but there's a lot of fighting and also some funny moments :) . Its about a 14 Jahr old middle schooler named Tsunayoshi Sawada, who he is becoming the Weiter mafia boss of the Vongola family, and he's also in Liebe with a girl named Kyoko Sasagawa <3

I hoped I helped much and sorry I couldn't Upload a cool image '^-^

Darker Than Black :) which is why I Liebe it!
It's mainly action, but it goes from suspenseful, intense fights to Zufällig funny moments and all throughout the Anime there's an ongoing Liebe story.
It has season 1, 4 OVAs and Season 2. Du gatta watch it in that order so it makes sense. And so far, this is my Favorit Liebe story. Really intense.

(Also i've heard they're working on season 3 :D )

Then, there's Phantom: Requiem of the Phantom. I absolutely loved the story...but I hated the ending which ruined it for me, which is why I don't highly recommend it. But who knows, Du might like the ending Mehr than I did so Du can always give it a shot.

kaze no stigma is a good one but there is only one season because the writer died after the season was finished

Hakuouki, definitely ~

hayate no gotoku its kinda funny and has a bit of Liebe i dont really know many of those sorry (-_-''') but there's this one called "Zero no Tsukaima" but i dont really watch...its a bit too much for me since im 13 and all

If Du don't mind mecha, I recommend Eureka 7.
It has one of the sweetest Liebe stories in my opinion.

Ranma 1/2 (by the same creator as Inuyasha! Also, KagomeXInuyasha is almost exactly the same as AkaneXRanma. There is a lot of marshal arts, and it's super funny!!!)

I also recommend RomeoXJuliet. A very sweet anime, and probably the most beautiful story ever. A lot of sword fights~ and Juliet is pretty badass!!!

A picture of RomeoXJuliet XD

Another :)

Chivalry of a Failed Knight