Just in case it turns out to be the problem, I’ve found some recent-ish (last ten years, say) pressings to present tracking challenges even to quite well-specified and set up kit: some specific examples...
The Beatles “Mono Masters” ... It is quite sobering to see a SME V shiver and shake because of what’s in the groove.
However, if the athe whole cartridge/headshell shimmies in the way MotelBlues suggests then this really sounds more like a cartridge/arm mismatch.