You could compare it to tanks (like the tank minigame in Wii Play) except the thing you're controlling is continuously moving forwards and bounces off of walls. There's a separate movement direction and shooting direction, where one button shoots in the shooting direction, and the other changes the moving direction to the shooting direction. With a SNES mouse, the shooting direction always looks towards a cursor. With a standard controller, pressing a button on the d-pad will make the shooting direction start rotating to reach the target direction you pressed.
It's a sequel to https://novasquirrel.itch.io/sliding-blaster but greatly expanded.