The Classic Billfold is just that. It has quite a bit more space than the Three Fold. 6 card pockets and a bill slot. I keep mine at home as card cold-storage wallet. It still has my original Social Security card in it.
If you need to over stuff it, it will comfortably fit 4 standard size credit cards in each of the pockets, or around 10 standard sized business cards per pocket. If you need more room, it's time to cut up a few of those cards. Plenty of US dollars fit, anything over a Euro 50 will peek out the top just a bit. A 10 RMB note will fit just fine.