Astro 3.0 introduces support for the View Transitions API, which simplifies creating animations across pages and can be particularly effective in applications with list and detailed views. The example project discussed in the text involves a chess game application using Astro and Tailwind CSS, where game names and details are displayed with smooth transitions. The View Transitions API is enabled by importing it into the shared Layout.astro file and utilizing directives such as transition:animate and transition:name to create visually appealing transitions between list and detailed views without complex coding. By assigning unique names to elements on each page, the API interpolates their positions, resulting in seamless transitions. The example also includes integrating GIFs from the Lichess API for a cleaner and more dynamic user experience. The View Transitions API is versatile, applicable to various web projects, and enhances the visual appeal and interactivity of applications with minimal setup.