You have good responses so far..
I might add Gexa Theater in the Fair Park area. If you go there, get reserved seating and specify covered seating... much of it is on the grass.
The Allen Event Center is very nice but right now is mostly hockey and some Disney on ice types of things. Lil' Wayne was there not too long ago.
American Airlines Center always has some good concerts. I think Elton John is coming soon. We saw one of his shows a while back and he is a fantastic performer.
ATT Stadium (aka Jerry World) does have some music venues. It is a great place to see if you want to tour it and it right there with the Ball Park in Arlington.
Lone Star Park is fun for Horse Racing and the food up in the reserved buffet area is good.
What kind of food do you love? We have some fantastic restaurants with high end steaks that make your mouth water, great Mexican food and Victoria is right about Village Burger Bar... GREAT burgers. There is a Village Burger about 5 minutes from me that calls my name often!
Frisco has Pizza Hit Park. Jimmy Buffet goes there yearly. Also the Ball Park in Frisco is fun but a little early for that right now.