I've found most of the vintage players I have are not good at playing scratched discs. I have a few old ones (D-250, D-5, etc.) that seem to have worse issues with scratched discs. The "D-EJ" era and newer players do pretty well at playing scratched discs, but you do take a hit in sound quality with most of them. My D-NE330 does a great job, but doesn't sound the best. I've had reasonable luck with the following vintage players as far as scratched discs: D-EJ825, D-777, D-335, D-223. I find the D-777 is probably the best sounding of the list, so it may be a good compromise between sound quality and disc scratch resistance. Keep in mind, the ability of the player to "read-through" discs may also be affected by the age and condition of the specific PCDP you have. Sometimes, adjusting the pots inside (there's a few guides here on Head-Fi) can help with a player that has difficulty reading scratched discs. My D-250 would really struggle on any non-perfect disc until I adjusted the focus pots.
Also, if you aren't interested in sticking with the Sony signature sound, I've found the vintage Panasonics to be a little better at playing the scratched discs.