Doesn't have to be romance, but they need to be somewhat relevant for each other and interact a lot. My preferences are they're some sort of partners or traveling companion etc. The guy must be a straight serious no-nonsense type and the girl to have a distorted set of values and somewhat a daredevil. I want them to bicker a lot, have clashing opinions and sometimes scold each other (guy scolds the girl more often I guess considering he's the 'sane' one?). I don't need them to be the main characters as long as they have enough part. Can be manga or anime with any genres.

Examples:
Lelouch and CC from Code Geass
Rock and Revy from Black Lagoon
Kyon and Haruhi from Melancholy of Haruhi Suzumiya
Nodame and Chiaki from Nodame Cantabile

Thanks ~

DONDAKEE!!

Superior
Sakurasaku Shoukougun
Classmate, Kamimura Yuuka wa Kou Itta.

aho girl its really an amazing manga but its 4koma though

Yankee-kun to Megane-chan

If you're okay with younger protagonists, try Kodomo no Omocha. And Seishun Away seems headed in that direction.

You could try Nozomi x Kimio, it fits your description.

Crazy For You (Honnosioli)?
Gintama Shinpachi is the straight character usually