I have a chip and RFID enabled card, and of course the first thing I did when I got it was to test what could be pulled from the card with tools available.
Interestingly enough, the thing you can pull from both the chip and the wireless are general details of the last 10 transactions placed on the card. This in and of itself is only a small part of what you would need to get access to funds - I think you would need keys and application access (in RFID parlance) to access that part - but having the last 10 things you did open and in the clear for any reader is pretty alarming when you consider that any vendor that does an authorization or tap on the card can also collect this information and add it to their database on you as a customer.
Of course, Visa or Mastercard have that and a lot more - but having it handed to the vendor too is a bit disturbing. Handing it to the guy with a reader concealed and giving him an idea of how much cash you took out an hour ago might also be scary.
Note - I live in Canada, so US folks with their less than secure (no PIN) methods might be worse off.