Remote Buddy just uses AppleScript to control DVD Player. I can't see 
how that could make DVD Player crash unless there is a bug in DVD 
Player itself.

I haven't had any other reports on such a problem, either.

Please be sure to report the problem to Apple as only they are the 
only ones that can debug and fix a problem in DVD Player.

General advice / possible solution: 
You may want to check the crash log for InputManagers and other usual 
suspects (like APE, SIMBL, ..). These hacks modify system behaviour 
and are thus often involved in seemingly random problems. They are 
also unsupported by Apple (Apple is known to simply throw away all 
crash logs that contain any of these). If you experience any weird 
"only-I-have-that-problem" problems, application or system crashes, I 
highly recommend to check for and uninstall any such software.

Best regards, 
Felix Schwarz