Max Klymyshyn discusses various approaches for handling asynchronous JavaScript, including promises, generators, async/await, CSP channels using js-csp, and the actor model. He describes some of the key benefits of each approach, such as CSP channels solving problems of coordinating asynchronous components and CSP alongside other approaches solving the problem of easy-to-understand code. Klymyshyn also provides code examples for using many of these approaches.