I think that "luck" is a stretch. A 1000 DVD's and the oldest DVD player in the tri-county area... and nary a glitch. Not to mention, I've never had friend, family, or acquaitance ever remark on an incompatible DVD.
I have over a thousand DVDs too and Bandai titles were plagued with incompatibility issues and they even admitted it. Even Disney had warnings on the back of their DVD cases, saying that some players are not compatible with their discs and they won't be held responsible for it.
The first incompatibility issue for me came with Escaflowne discs 5 and 6, which wouldn't work on my PS2. This forced me to buy my first DVD player (Samsung). It was one of the Gundam DVDs, that forced me to buy a Sony player. And after six years, I was forced to buy another one since Giant Robo disc 2 wouldn't play properly on it. I marked the last one as worn out laser eye.