One of the most convenient places to find your recent AutoCAD LT files is in the Application Menu.
(If you’re running Windows 7, of course, there are also jump lists.)
By default, you see the 9 most-recent files in the list. But why stop there? In the Options dialog, you can increase that number all the way to 50, if you want.
Make sure you change the “Application Menu” setting, not the “File Open” setting. “File Open” applies to the old File pull-down menu, and that one maxes out at 9.