What is a mouse-only way to minimize all the windows except the active one?

The keyboard combo Win + Home minimizes all windows except for the active one.

The cool way is called Aero Shake. Use the mouse like you would move a Window, but shake it (move left and to right very fast).

The coolest way to minimize all the windows except the one that's active is to literally shake the window. Yes, as in:

1. click and hold on the frame of the window
2. move repetitively and quickly to the left and right

Tada! (Credit goes to 9Gag for this.)