Yes please. Even for the horizontal default taskbar at the bottom, reducing any space (if it were possible) around the language indicator, Action Center and Clock/Date would be awesome.

This would be actually great and a useful enhancement to the Windows taskbar. If not in grey, then at least with a simple overlay (-) that it is minimized.

Btw on Windows 10, you can rearrange jumplist items using Open Shell Start Menu. That changes them for the Taskbar as well.

Basically what the excellent RBTray app does but it does that by hooking into every window and we must right click on minimize button of a window to send it to the tray. That doesn't work for apps that customize the title bar/non-client area. Ctrl+wheel down will work reliably.