Bourdain had two shows on Travel Channel - No Reservations and The Layover. No Reservations is done, but they still air reruns. The Layover may have a couple of new episodes left before it's done also, but I don't think the reruns will suddenly disappear from the channel overnight.
In addition to The Taste, Bourdain also signed with CNN to do a new travel/cuisine show called Parts Unknown. I guess it will start airing later this year.