Like the others have mentioned, use <Shift> to add extra awesome.

Also, I would love it if Microsoft implemented a way of having multiple desktops, so I could switch between them with a shortcut like those.

I am sure there is a possible 3rd party solution though?

There are already strong rumors that multiple desktops will be a feature in the new windows9. In an interview on the /build/ 2014 some MS devs said that now that they have made a dumb-ui for the common consumer they can finally improve the desktop to the needs of power-users

Now if only Windows would "remember" these snapped window positions after you close and re-open a window/app. It remembers windows that you manually size, but not ones that you snap. Sigh.

{Windows Key} + {Shift} + {Arrow *} to move windows between screens.

Can only move "sideways" though, so even if you have screen on top of each other, one have to move windows sideways.

It works great for the Win8 'Apps', but not regular windows applications (Firefox, Adobe, etc) for my setup. Probably something taking over my shortcuts.

That's an interesting issue... I've never had an issue on Windows 7 or 8 using the [Start} + arrow key to set a normal window to half-screen.

Do you use any productivity enhancing system tools?

Those shortcuts are also valid on Windows 7.

Win+Shift+←/→ to move windows between monitors without first docking them to a side.

Hey! It works! I wonder how many other keyboard gems are hidden away...