Yes.
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That specific relationship is over used , as such there are lots of anime's that have that potential relationship. Try Crescent Love or Yona of the Dawn.
I'm Pretty sure the anime you are looking for is called School Rumble. I might be wrong, but it does have a bad boy who falls in love.
You can watch it on dubbed anime in Japanese
Yes, there is. You can watch in here: http://www.gogoanime.com/to-love-ru-darkness-episode-1
Chuck Norris