I highlighted some of my faves citywide in this recent
thread.
So, to sort through those in the general WP neighborhood, there would be the Ashland "carne asada row", which includes three outposts of
La Pasadita for carne asada and barbacoa tacos and burritos (this board seems to favor the eastern- certainly for its authentic workman's lunch counter atmosphere, but I personally have not found too much product differentiation),
Carniceria Leon for
the best tacos al pastor and asadas (now named Tierra something or other),
De Pasada for carne asada tacos and burritos (I prefer this place to Pasadita as well, they
always grill the steak to order and they seem to use a better trimmed cut of beef. They are also really sweet and friendly there). Further down on Chicago you've got
El Taco Veloz, which for me is a destination only for carne en su jugo and some pretty good tortas de milanesa and cesina. Heading further west on North a must try, as in- some of the best Mexican food in Chicago period- is
Cemitas de Puebla for Pueblan delicacies including the much lauded cemita de milanesa. Actual Wicker Park is devoid of anything too authentic, generally in all categories. Heading north towards Logan Square there is the all night burrito corner at Western and Armitage, but these offerings tend to be most passable in late night hours of inebriation. I have had an excellent plate or two of bistec en chile de arbol at
Arturo's, though. There's also a decent birria place north of there on Western called
Birrieria Estilo Jalisco.
La Pasadita
1132 n Ashland
1141 n Ashland
1140 n Ashland
Carniceria Leon
1402 n Ashland
De Pasada
1108 n Ashland
El Taco Veloz
1745 w Chicago
Cemitas de Puebla
3625 w North
Arturo's
2001 n Western
Birrieria Estilo Jalisco
2045 n Western