Minimize and restore gvim under Windows using shortcut keys
From Vim Tips Wiki
created 2004 · complexity basic · author Siegfried Bublitz · version 5.7
CTRL-Z in normal or visual mode will send Vim to the background, suspending it. Even gvim is iconized. In Microsoft Windows, this means pressing "minimize" the current gvim window.
Windows also provides a "shortcut key" property in the "Properties" dialog of any given shortcut. You can open this dialog and enter
CTRL-ALT-Z as the shortcut key by selecting the shortcut key box and typing the key combination. Doing so allows you to press
CTRL-ALT-Z to bring Vim to the foreground after launching it, and press
CTRL-Z to minimize.