What competitors? You mean a "Jesus Card" issued by Visa or Mastercard? At this point, it's basically an oligopoly. The only other real player is Amex, and they're a very distant third.
Amex isn't really a competitor, since they're both card issuer and network in one. (I believe they have a few third party issued cards these days, but it's not a significant part of their business. The same goes for Discover.)