I've always managed to not enable Verified by Visa on any of my credit cards, but another huge problem with it is that doing so is nearly impossible. Once you get redirected to that popup, it's very hard to not signup without canceling your transaction with the original merchant. Or getting dumped back to your shopping cart, trying to check out again only to get dumped straight back into Verified by Visa's signup process.

There doesn't ever seem to be a permanent opt-out, so anytime I want to buy something from a merchant that uses it, I have to hunt for the magic button to get around it again.