I've meant to try the Ace Attorney/Phoenix Wright games for ages but haven't gotten around to it yet, sadly. Still, they kinda seem like the same sort of thing I'm aiming for, although I wonder if there's as much silly nonsense going on in those games.
Did some more work on this scene today, here you can see the JUDGe battling against a chaotic robot and his Disruptor Drones (the floating orbs with loudspeakers sticking out of them). You must strike the robot with your gavel at the right time to create some Order in the court (well, weird planet thing), and keep striking the drones as they fly on screen to stop them from disrupting the JUDGe and depleting the Order that he has created with his gavel hits. Returning the court (planet) to total order beats the disruptive bot and drones.
This is still very WiP - had enough time after work today to draw the bot and drones and Order gauge, as well as make the drones explode, but there's still a lot to be implemented, which hopefully I will get done tomorrow.