Naruto: Naruto vs. Neji , Rock Lee and Gaara vs. Kimimaro . Shippuden's: Naruto and Sakura vs. Kakashi, Shikamaru vs. Hidan , Pain vs. Naruto.
Avatar: The Last Airbender's Firelord Ozai vs. Avatar Aang
Soul Eater's Asura vs. Death the Kid and Blackstar.
Goku vs. Freeza .
two fights that i can think of off the top of my head are from avatar the last airbender and naruto. from ATLA, it involved katara... and then from naruto, i think it was like neji vs some spider ninja guy...