I use The Hit List for big project management and one bonus of the app is the great number of keyboard shortcuts. The web Gmail app has a particularly nice set of keyboard shortcuts. I saw this topic under Questions here in the forum but wanted to add it to the Suggestions area so it can be considered. Particularly good shortcuts would be to change due date, change priority, add star, etc.
I use Trello, it's a web app with great support for keyboard shortcuts, you can do a lot without using the mouse or trackpad. Once you learn the shortcuts, you can be faster than with a mouse.