Macromind Director, perhaps? I know they used Director or something similar to it in name for the animations in the original Spelunx. There was a player that came with it, not sure if it was ever sold/given away separately like the HyperCard, QuickTime, Flash, Real, etc players.
I'm not positive on this, but didn't QuickTime 1.0 work on System 6.0.7?
Also, if you do wind up using QuickTime, please be advised that it won't work on anything with a 68000 processor. It requires a 68020 or newer.