I'm not sure whether you're interested only in free programs, but if not, you might take a look at Hot Keyboard
. It works via hot keys and text shortcuts (which I much prefer to hot keys). I don't think it makes use of the start menu or the run dialog. You just type whatever hot key or text shortcut you wish, and it will instantly open a file, navigate to a website, etc., using either your default program/browser or another that you specify. For example, when I type /sv, my Sieve file instantly opens. (I use the / to be sure I don't accidentally trigger the shortcut when I don't mean to.)
A similar program is ActiveWords2
. It's more expensive than Hot Keyboard, but it allows you to install it on multiple computers and has a mechanism for preventing accidental triggering. I own both programs and recommend them both.