There are many family friendly theatre shows and musicals. Sign up on their website to let you know when they are.
The World Arena is huge and has a lot of events. I saw a popular comedian there and did not feel crammed at all, even though it was a large event. Parking was a bit crazy when the event ended, but that is expected at any venue. UCCS also has their graduations here.
We've been to several shows at the World Arena, and we have enjoyed every one! We saw Disney's Monsters Inc on Ice, the Superstars of Gymnastics tour, and a few others. They were great, our seats were in the lower level bleacher area and we could see fine. Our girls particularly enjoyed the Disney show, and would love to go back for another! The concessions were good and not too expensive, particularly the new Chinese food, yum. Definitely a great family evening!