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In addition to the 3M Precise Mousing Surface, I've found the Microsoft IntelliMouse Explorer mouse lets me mouse very precisely. Best of all there's a lifetime warranty _and_ there's no moving parts to dirty.
A small addenum... after a few months of using it. Yes, one part does get dirty -- the little "feet" that hold the mouse up... but they're easy to clean -- you just have to rub them with your thumb and any grime goes away. Much easier than performing mouse surgery for cleaning :)