On MS Windows we can use Super + Arrow to move a window to the right and the left of the screen, maximize, minimize and even move it to another screen. Is there a way to configure this feature on Gnome?
Ctrl + Alt + NUMPAD 4 (left edge) Ctrl + Alt + NUMPAD 6 (right edge)
Make sure you are using the NUMPAD cursor keys, not the dedicated ones, if you have those. Otherwise, it'll switch workspaces.
Note that these shortcuts only work on non-maximized windows. Un-maximizing any selected window can be done using
Ctrl + Alt + NUMPAD 5 (center)
List of Unity keyboard shortcuts here in case you haven't seen them.
The Put Windows extension implements this feature. After installing it, Super+Shift+Left and Super+Shift+Right move the active window to the previous/next screen, respectively -- just as in Windows. This works even in a three-monitor setup, and also moving maximized windows now works reliably.
Frychiko's solution works great in a two-monitor setting but suffers issues when moving maximized windows.
Tested with Ubuntu 13.04.
Tested on Ubuntu 18.04 (Pop!_OS) with Gnome 3.28.2:
Moving window in current display: Ctrl + Super + Arrows
Moving window to other display: Ctrl + Shift + Super + Arrows
The initial answer works (at least) for Pop!_OS 18.04 - the keyboard shourtcuts might be custom.
Later found this Gnome wiki page which states that it should be Shift + Super + Arrows Left/Right