I'm pretty busy this period in writing the O'Reilly AIR Cookbook. Unfortunately the book won't be out for this summer but if you want to learn how to create cool desktop application with AIR using Flash, the well known David Tucker (the main author of the AIR Cookbook) has released a video coruse for Lynda.com site:
AIR for Flash Developers
with: David Tucker
Rich internet applications become more popular and powerful every year, but they have been limited to what can be done from within a web browser. Adobe AIR allows web developers to leverage their Flash, Flex, HTML, and AJAX skills to create multi-platform desktop applications. In AIR for Flash Developers, David Tucker uses Flash CS3 Professional to create several AIR applications, exploring the workflow and features of the AIR extension and runtime along the way. He discusses how to integrate with an operating system; how to incorporate HTML and PDFs; how to use the local SQLite database for information; how to package, distribute, and update AIR applications; and much more. Example files accompany the course.
I know David and I'm sure he made a wonderful job.
Moreover on Lynda.com site there are two more AIR courses by David Gassner that worths:
AIR for Flex Developers
with: David Gassner
AIR for Flex Developers is David Gassner's follow-up to his AIR Essential Training course, and takes a deeper look at how Flex Builder 3 and the Flex 3 framework can be used to build cross-system desktop applications with Adobe AIR. David examines every point of integration with the host operating system, including working with the local file system, creating and maintaining local databases, and managing native windows and menus. He also shares tips for how to configure the development environment, and how to publish and update finished AIR applications. Example files accompany the course.
AIR Essential Training 4.25
with: David Gassner
In AIR Essential Training, instructor David Gassner shows how to use the Adobe Integrated Runtime (AIR) and associated development tools to create dynamic applications. David demonstrates how to build and deploy desktop applications that run equally well on Windows and Mac OS X. He covers creating applications in Flex Builder 3, Dreamweaver CS3, and Flash CS3; working with HTML and PDF documents; creating a seamless installation experience; and more. Exercise files accompany the course.