Ah, talking about the nieghborhood digs.
Pancho's is good--the carne asada is the best steak on the southside. The waitresses are very cute, too--there is some sort of Latvian pipeline where they come to the UIC for a year and all work at Pancho's. Seeing the endless streak of tall, attractive 21 year olds has bumped the Baltic republics way up on my "to visit" list. I'd avoid the margaritas.
For breakfast, there is a great Mexican place on 35th (I forget the name), a block west of Halstead. It's right next door to the Bridgeport Cafe (hint: DON'T GO THERE--WORST FOOD EVER.) Get the migas. Another good breakfast place is the Ramova Grill on Halstead between 35th and 37th. Nice 50s-style diner. It's a favorite of the artists around the southside, so expect a surprisingly trendy crowd.
For something fancier, Franco's on 31st (just west of the Dan Ryan) has decent high end Italian. It's more of a northern place, though, so don't expect your typical spaghetti. Also, it's not cheap--but the wine list is pretty reasonably priced.
Obviously, go to Morrie's if you can. It's on 35th and Union. The hot dogs are only so-so, but everything else is pretty good.
As for bars, for a real taste of Bridgeport, try Shinnick's on 38th and Union. It's the epitome of a Bridgeport hangout. Just park on the right side of the street, because if you park on the left, you'll probably be taking my space. Also, say hello to the black and white dog in the window of the house next door. She's friendly and enjoys the company.