Theres BBQ everywhere - Joes KC in the gas station on 39th, Q39, Arthur Bryant's near 18th and Vine (lock your car and don't leave and valuables), jacks stack for cheesy corn, slaps near strawberry hill, the plaza for shopping, Ameristar and Capri on the River for gambling and if the royals are playing, the best cheesesteak in town is just up the the right bleachers. River markets a cool little spot too.
Edit to add: monarch bar on the plaza is one of our fav bars in the whole country.
You can also see if anything going on at KC P&L district downtown. That's where hot summer nights is thrown. You can also see if the chiefs are playing. It's like a college atmosphere w tailgating and a great environment. If you need chiefs tickets, I still have ours from where we lived there.