Instructions
Go to an online search engine, such as Google, and then type "arcades" followed by your city's name. Click on the links that the website provides of arcades in your city. Choose a place to visit that specifies itself as an arcade and/or amusement business.
Visit your local Dave and Buster's or Chuck E. Cheese franchise. These franchises generally host a variety of basketball arcade games.
Search for an online arcade game provider. Most online arcade game providers are free and allow you to play a variety of sports games such as basketball. See "Resources" for a link to a free online arcade provider.