The 'make the menu come to you' approach would make sense for large and/or unusually controlled screens. Take game consoles and their directional controllers or old style mobile phones with numeric keypad for example, they made most menus pop up in context-menu style.
I imagine something like holding a menu button which acts like a modifier key that also pops up a menu on-screen. Then, using a physical layout on the screen that matches the layout of the buttons on your controller or pointing device to navigate/select items of choice without using x,y pointing systems such as the mouse arrow. This does however create a new problem: how to decide where the menu is going to overlap over the stuff you were working on?
I imagine something like holding a menu button which acts like a modifier key that also pops up a menu on-screen. Then, using a physical layout on the screen that matches the layout of the buttons on your controller or pointing device to navigate/select items of choice without using x,y pointing systems such as the mouse arrow. This does however create a new problem: how to decide where the menu is going to overlap over the stuff you were working on?