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MWQuite simply put, the most recommended and widely used grading company by serious and knowledgeable vintage collectors (who desire to own graded cards) is SGC.
As far as PSA is concerned, I would put both GAI and Beckett ahead of them. PSA has a very poor track record in the vintage card marketplace and enjoys widespread use only among novices or those who are more concerned with the number on the holder than the actual grade. Once collectors become more acclimated with grading nuances, they generally see the folly in submitting to a company (PSA) that possesses a substantially limited knowledge of vintage issues.