Although Adams Park is an excellent modern(ish) stadium, there's plenty of room in the north west corner of WAP to build a stadium (if you displace the clay pigeon club which must create a noise nuisance itself) and still allow flying to carry on. They built a replica of Brooklands there for 'Those Magnificent Men....' and flying still carried on.
Gibraltar has a football stadium right on the edge of the airfield; Yarmouth Stock Car/greyhound track is right next to North Denes which is now a heliport but was fixed wing for many years.