Taskix is a free utility that allows you to reorder the buttons in your Windows taskbar in-place using your mouse.

If you have "Group similar taskbar buttons" set, it also works inside stacked groups.

Simply extract the files from the ZIP into a folder of your choice and start the EXE.

It is most straightforward to use - simply drag-and-drop the button you want to move - , it is fast and uses very few system resources.

There's a separate 64 bit version available on the homepage to use with 64 Bit Windows systems.