I once discovered a way to restore a minimized window without using the mouse. It requires a bit of practice:
1. Press Command-Tab to show your running apps. Keep holding Command.
2. Press Tab until you've selected the minimized app.
3. Press the Option key, and let go of the Command key. You must release the Command key after pressing the Option key! The minimized app is now unminimized.
Note that this only works for an app with all of its windows minimized. If there is already a visible window of the app you won't be able to get to the minimized one with this trick.
Another way to restore a minimized wondow would be to use Ctrl+F3 to focus the dock (Ctrl+F1 to enable that shortcut), press Up repeatedly until the minimized window is selected, then press Return to open it.
1. Press Command-Tab to show your running apps. Keep holding Command.
2. Press Tab until you've selected the minimized app.
3. Press the Option key, and let go of the Command key. You must release the Command key after pressing the Option key! The minimized app is now unminimized.
Note that this only works for an app with all of its windows minimized. If there is already a visible window of the app you won't be able to get to the minimized one with this trick.
I posted it once to Super User where it’s still getting attention after 9 years: https://superuser.com/questions/196141/keyboard-shortcut-to-...