There are a lot of anime that have slight violence but not so much until you see all the internal organs... Some romantic and comedy anime where a guy chases a girl will show some violence including the guy nosebleeds or he say something wrong and get beats up by girl. They are quite cute actually...
There are probably some non-violent ones but usually they are not so popular. Try sports anime,
Recomand you some anime (contain some little violence)
This is very hard to answer. The reason is because there has been thousands of anime shows made. The best advice I can give you is look at some of these websites. They have a lot of anime info and what they are about. MyAnimeList Anime News Network These websites is the closest you will come to having a complete list of all the anime shows.
how to rasengan in anime fighting jam
yosuga no sora ^.^
No, but around 4am to 8 am they so some anime shows on cartoon network
mar. the fighting is more magic
Astro boy Detective Conan
There are many, but Inuyasha is a long running anime with fighting and romance.
The latest anime show would depend entirely on what network you were watching. Some of the most current anime shows can be found through manga and anime based networks/companies.
Samurai Champloo and Afro Samurai has a lot of sword fighting in the series .
Sekirai
If you mean what are some anime shows that have been or are due to be made into live action films then see the Death Note films , the upcoming Ghost in the Shell , Battle Angel Alita and Cowboy BeBop .
I would recommend naruto,bleach,samurai champloo , dbz ,hunter x hunter,hunter x hunter(2011),fairy tail the name sets you off but its a good fighting anime show