Frankin Park itself may be a bit of a wasteland. But, there is plenty of good eating to be had in that part of the world.
Beginning with Melrose Park, someone has already mentioned Danny's. For a nicer sit down red sauce experience across the street, Abruzzo's directly across Division from Danny's offers good red sauce type food featuring homemade pastas at reasonable prices.
I really enjoy the grilled Yucatan style chicken and handmade tortillas at El Asadero on Lake street just east of 25th. It is one of my regular lunch favorites (thanks LTH!)
If it's lunch time, and you don't mind a bit of a wait, a casual carnitas lunch with handmade tortillas at Don Alfredo at Lake and 25th is a great option and just dirt cheap.
LTH favorite Yum Thai is nearby in River Forest on Madison.
Tom's Steakhouse on North Avenue between 19th and 25th is a decent enough throwback kind of place with a reasonably priced menu.
For Cuban, I don't care much for El Prado on lake. But, I really like Cafe Cubano on North near Johnnie's Beef.
In Rosemont, if you have the budget, you have high end chain feeders McCormick and Schmick, Capital Grill, Gibsons, Morton's and Carlucci.
Finally, on River Road, i have always found Pescatore Palace to serve up a nice Italian style seafood dinner. The kitchen there is so accomodating