The Tikal is designed to do that, it's more of a flat shape. The pochette accessoires can do that too, it's just larger, as most people use it as a small handbag. The mini accessories is more of a small cosmetic case with a chain, bills can't lie flat without being folded inside it.
Hmm, Zipped Purse??? http://www.eluxury.com/browse/product_detail.jhtml?styleid=10260885&SectionID=6000
I was considering it for the same purpose since it has a zip around (don't have to open it more than necessary), but this might not be along the same lines as what you are thinking since it's a wallet.
I was considering it for the same purpose since it has a zip around (don't have to open it more than necessary), but this might not be along the same lines as what you are thinking since it's a wallet.