A lot of the Cornucopia cards deserve to be on these lists, and if we're revisiting them then there are probably a bunch of other changes worth making.
Hamlet is definitely in the Top 5 $2 cards, in fact it's probably #2. Besides that the list is pretty good except that Haven is overrated and Secret Chamber needs to be high up on the Worst list. I'd almost always rather have a Herbalist or a Pearl Diver.
Menagerie is also assured a spot in the Top 5 #3 cards; it's one of three cards with a reasonable claim at the #2 spot. The other two cards IMO are Fishing Village (which has said spot) and Masquerade (which needs to be included in any updated ranking). Neither Village or WW really deserve to be on the Worst $3 Cards list, so there's room for the weakest card in Cornucopia, Fortune Teller, and... I dunno? Shanty Town is usually worse than Village? Great Hall is usually just a distraction? Loan is pretty much the worst trasher around? Put Silver on there, just because? The $3s are generally pretty good, actually.
As for the $4 cards... Remake and Tournament both probably deserve to be in the Top 5, though where exactly I'm not sure. I almost want to put them at #1 and #2, actually. I feel they are must-buys more often than any non-Cornucopia $4, even Hag. Remake is IMO the second-best trasher in the game, and Prizes are powerful. Filling the rest of that list is going to be hard, though, and there are like eight plausible entries for the remaining spots. Horse Traders, Farming Village, and Young Witch are all above average but I don't think any are Top 5 material. YW is IMO only the right buy about half of the time, surprisingly bad for a curse-giver. None of the Cornucopia cards should be anywhere near the Worst $4 Cards list, but that list needs a major overhaul anyway. It was easily the worst list we've seen- Ironworks and Cutpurse are way, way better than Pirate Ship or Coppersmith or Scout, f'r instance, and Thief is easily the worst card in the game, not merely "honorable mention".
Hunting Party is #2 Best $5 Non-Attack at a minimum, I mean it's a better Lab! If I were making that list I'd consider putting it at #2 behind Tactician, but I'd expect Wharf to stay at #1 and that's probably the right choice. Jester is duking it out with Rabble for Honorable Mention on the Attacks list, which otherwise doesn't change (though I'd personally drop Ghost Ship a spot or two). Horn Of Plenty is pretty good when it works, and Harvest is pretty mediocre, but neither warrant inclusion on any best/worst list.
Fairgrounds was out before the $6+ lists came out, and I agree with its non-inclusion either way.