Moving an application window to another space without a mouse would also be nice. I've only wanted it for, like, the past 10-15 years. Snow Leopard even had that ability. Why was it removed? That's beyond me.
I have had to work around it with the most hacky scripts possible, and it's been so annoying trying to maintain all those scripts over the years.
I swear such a shortcut exists? I sometimes accidentally trigger it and have to sit through the window-sliding-to-another-space animation.