I found the name! I've been obsessing over this black and green label cheese, and I haven't a Kroger anywhere near here, but the brand is CABOT cheese.
(Mom brought home a Mexican shredded cheese blend, I saw the name on the bag, and was like "YES! THIS IS THE CHEESE!")
So Schmoogs, the White Cheddar you are on the hunt for is CABOT. It's a black label with like, a green border on it. The CABOT logo is red.
I did a google search, and they've got like, a sharpness rainbow. Cabot is definitely the brand you're looking for. The only level missing is "This cheddar is so sharp, it will stab you in the spleen and leave the grocery store with your wallet"
So, I'm a big fan of cheese. Mild, Sharp, experimental, I'll try em all once. Brie sucks though. Sorry, objective truth. I once made the mistake of buying a Feta at the 99 cent store. Wasn't even cheese, just soy with a bunch of crap added to it. I did not care for that deception.
I did not know that Muenster is an American cheese, and I can never find the sharp variant, The mild has become too mild, almost a provolone situation.
My mom does this stupid thing her whole family does, when they buy Mozzarella, they yell "MOTZ-A-RELL" in a stereotypical Italian accent. We're Irish.
I think I prefer my cheese to be melted, rather than just eating it fresh, but there are plenty of cheeses that taste great on their own!
So that's me, just dropping cheese thoughts, without any rhyme or reason. My English teacher would be livid!