Thanks to Ross Sillifant for the heads up, a short clip of what seems to be the unreleased PlayStation version of Aliens vs Predator can be found in this fascinating video of the E3 show back in 1997:
It should start at the right place, but if for any reason it doesn’t – skip to 2:05:29.
The entire video (which has been online for a few years) is worth checking out, as it features a number of unreleased titles within. The game was also planned for release on the Sega Saturn, which also saw cancellation. The PC version was delayed and eventually released in 1999.