Logitech QuickCam Communicate STX
Earlier, I wrote about setting up a Mac Mini user running OSX Tiger 10.4.x with a Logitech QuickCam Pro 5000, and how there was trouble using the camera's microphone. Fixing it involved mucking around with Mac OSX kernel extensions, and later automatic updates seem to have messed that up.
Rather than keep fighting with OSX, I swapped out that webcam for a Logitech QuickCam Communicate STX. Specifically, the model with part # 961464-0403.
It's not supported by default with OSX 10.4.x, but it is supported by macam, which is ridiculously easy to install. After doing so it worked fine with Skype, and the auto-exposure feature even worked, where it adjusted itself automatically for the lighting in the room.