Isaiah Grey from Stamplay demonstrated how to create a collaborative shopping list using AngularJS and PubNub as part of an AngularJS series, highlighting Stamplay's capability to build application backends with various services, including payment processors, user authentication, and text messaging. The real-time shopping list serves as an example of Stamplay's integration with PubNub, providing a useful application for scenarios like birthday wishlists or travel checklists, showcasing Stamplay's versatility and ease of integration through its API.