Here are some film festivals around the country (and a few internationally) that showcase Asian diasporic and international cinema, and that you should bookmark. In many cases, the links bring you to the non-profit organizations that are the parent companies of said festivals. They include:

NORTH AMERICA
Asian CineVision
Asian Film Festival of Dallas
Center for Asian American Media
DC APA Film Festival
Disorient Asian American Film Festival of Oregon
Foundation for Asian American Independent Media
Hawai’i International Film Festival
Interisland Terminal
San Diego Asian Film Foundation
Toronto Reel Asian International Film Festival
Vancouver Asian Film Festival
Vietnamese International Film Festival

INTERNATIONAL:
Internationale Filmfestpiele Berlin
Busan International Film Festival
PIA Film Festival
International Film Festival Rotterdam
Vancouver International Film Festival