Asian Role: Keiji Kiriya
Non-Asian Performer: Tom Cruise
Release Date: 2014
As more and more mangas are adapted into full length features, this is going to continue being a problem. The recent Edge of Tomorrow was based on the manga All You Need Is Kill. The protagonist in that story is a character named Keiji Kiriya, but instead of having an Asian man portray him in the movie, they changed his name to Bill Cage (Cage? Keiji?) and cast Tom Cruise in the lead.
There are so many action Asian heroes who would have jumped at the chance to perform this role. But Tom Cruise had the name recognition, not to mention the complexion.