First Watch Batman: The Animated Series

Source: filmdump.com
Then watch the cult classic Mask Of The Phantasm
After that enjoy another DCAU Film, Batman: SubZero

Source: filmdump.com
Then cross over to Superman: The Animated Series and watch the the three part special World’s Finest eps AKA ‘The Batman Superman Movie” on released video

Source: dcau.wikia.com
Then start on the The New Batman Adventures

Source: The New Batman Adventures
After ending that watch Batman: Mystery of the Batwoman

Source: http://www.sneakpeek.ca
Then watch Justice League the way into Justice League: Unlimited and skip ep “Epilogue”

Source: nytimes.com
Then watch Batman Beyond

Source: http://www.strangekidsclub.com
Then for the final DCAU film on this list. Watch The Return of Joker

Source: http://www.giocattolivecchi.com

Source: blog.toonzone.net
After that go back and watch The episode “Epilogue”