[swarmee]

BGS and BVG are the same standard Beckett grading service, but BVG is for vintage cards.

BGS 10 BLACK LABEL means that all subgrades (centering, corner, edges, surface) are also 10. If a card has 3 10 subgrades and one 9.5, it is a BGS 10 Pristine grade. If the card has all 10 subgrades but a gold label, you can send it in to BGS and they will change the label to Black, since they only rolled the Black Label out around 2017.
Add: if a card has 2x 10 subgrades and 2x 9.5 subgrades, it gets a 9.5 Gem Mint for overall grade. Read up on the blowout thread concerning "Eagle Eye Joe" if you want to see how BGS seems to give out BLACK LABEL grades to favored submitters at a much higher clip than regular submitters.

BCCG is also graded by Beckett, but for much cheaper and larger volume submitters. Mainly they are for the companies that will repackage the cards into "Graded card blasters" and sell them at WalMart or Target. Sometimes they're for people to disguise bad grade cards because their scale is on a 5-10 scale. Despite the numbers, the written grades on the label are accurate.
5: Poor or better (approx BGS 1)
6: Good or better (approx BGS 2)
7: Very Good or better (approx BGS 3)
8: Excellent or better (approx BGS 5)
9: Near Mint or better (approx BGS 7)
10: Mint or better (approx BGS 9)