Take the U1 to the end of the line at Reumannplatz. Heurigen These are some nice Heurigen in Vienna proper. Since these are in the city, they obviously don't have their own vineyards attached, but they're easy to get to from the center of town and aren't at all touristy. Weinschenke Alischer My favorite Heurige is located in Simmering. Quiet, nice courtyard, good food.
Reservations are a good idea.
1110 Wien . A different kind of Heurige, the Augustiner Keller bills itself as the Stadtheurige, as it's right in the middle of town. Schrammel music nightly. In addition to coffee, most caf s serve ice cream, pastries, beer of course, and possibly hot meals. In a proper caf your coffee will arrive with a glass of water, and you'll be welcome to sit around for hours, reading the newspapers provided and perhaps enjoying a few games of Tarok or Schnapsen.