Top of my head:
- Tab to move across fields.
- Left-to-right, top-to-bottom focus.
- Space to toggle togglable stuff.
- Alt-Down Arrow to deploy drop-down stuff.
- Arrows to move around.
- Enter/Esc to accept/discard a modal.
Or maybe I misunderstand the things you call "mouse things".
This does not work great. What if you have a grid of 30 item, do you press 20 times tab to focus finally the item you want to interact with?
Keyboard design is much more, its also about how and where to place items, how things should move... it's a whole world. In the mouse world we have "discovered" those things and now we "just copy" other designs that we know work fine.