I dunno, but, on the surface, it sounds more like the disc to me. The fact that different players are having issues in one form or another with the disc might indicate problems there. The other possibility might be are how current are the firmware updates on the players? The BD35 model is almost three years old(I have a BD55 in another room) and for the PS3 you will have to check with your neighbor about that.

This is one of the main reasons I started buying Oppo BR players(BDP83, sold it, now a BDP95). While the mainstream companies are moving on to the next generation players, Oppo is much more vigilant in providing ongoing firmware updates to handle current and future disc issues. You can verify this but I believe the Star Wars discs are recent releases so this may be your problem.