Mine would be
Ichigo vs Ulquiorra(bleach)
Saber Vs Gilgamesh(Archer)(Fate/Stay Night)
hmm.. mine would be Naruto vs. Sasuke and Ichigo vs Kenpachi's fight.. XD
there are a lot of epic battles that i've seen in anime but for some reason the one i wanna put here is Luffy VS Blueno. epic gear 2nd pwnage.
1st time he used his gear 2nd. epic scene.
Anime fights from Dragon Ball Z and Naruto Shipuuden :)
Naruto vs Pain was pretty epic..
naruto vs sasuke (Naruto)
tsuna vs byakuran (KHR)
erza vs knightwalker (Fairy tail)
I can't forget the fight scene of Yusuke Urameshi of Yuyu Hakusho and Toguro or Shu. They're really pretty epic. Although, another epic fight scene is Kenshiro of Fist of the North Star/Hokuto No Ken versus Raoh.
All the epic battles in One Piece and Fairy Tail.... There is also that battle between Shana and Sabrac..
Kenpachi vs the fake Kenpachi.
Ichigo vs Grimmjow
Ichigo vs Ulquiorra
Ichigo vs Aizen (after learning the final getsugatensho)
Edward Elric Vs Greed (first meeting in brotherhood)
Kenpachi vs anyone (wish the battle vs himself was longer)
Bleach honestly has some really good fight scenes.
ichigo and kenpachi
L and Kira
Lelouch vs Suzaku
sebby and claude!!
ichigo vs. byakuya(bleach) or broly vs. gohan(dbz)