Well, the frat-boy bars notwithstanding, there's plenty of food to explore within a short walk from Wrigley. Board favorite, fantastic Thai food, TAC Quick is nearby, and would seem to be an obvious choice. Byron's, the classic hot dog stand, is around the corner, as is the serviceable or better taqueria El Palmar, across the street. Nearer Wrigley is the very pleasant (especially outside) and surprisingly good Uncommon Ground. Southport is a pleasant stroll away, with Argentine steak at Tango Sur, Cajun/Creole at Blue Bayou , Austrian Coffeehouse at Meinl, Chicago pizza and tavern-Italian at D'Agostino's and others (I wouldn't normally reco BB, but it's fine and might be worth checking out since I didn't see much Creole in the UK).
South on Clark from the field, you have several decent options, including Goose Island, which can be pretty darn good for bar food (and, of course great beer), and interesting ethnic options ranging from West African (Bolat), to old-fashioned Japanese (Matsuya), to sit-down Mexican and Italian (Platiyo, Mia Francesca), to various other Thai, Mexican, Moroccan, Indian, Ethiopian, German beerhall, Jamaican, Diner, etc. Actually, there's so much within a short walk from Wrigley, much of it ranging from serviceable to quite good, it would help to start with some parameters or get there early to explore and decide what sounds good.
Another nice option is always to overshoot Wrigley by a couple of stops on the Red Line for Argyle Vietnamese, Thai and Chinese, which can be done quickly before or after the game with nearly no walking or other effort, given the location of the train stops. The L going to (or coming from) the north is usually not packed for Cubs games compared to points south, and you get a nice slice of Chicago with serious contrasts by doing an Argyle/Wrigley trip.
The list of options shrinks by eliminating fake Irish pubs, but tons of options are left.