I would think yes. It doesn't specifically mention the classic 80g, but MacWorld notes the following about the DCP750:

"Not only can the 8.3-inch by 6.8-inch by 1.6-inch, 2.4 pound player, dock, charge, and display videos from 5G iPods; It can also play standard DVDs, Video CDs (VCD), DivX, DVD+/-R, and MPEG4 format discs. There’s even a slot for an SD/MMC card, if you want to view photos or videos directly from your camera."
http://wize.com/search?q=DCP750