Is this the sequel to 
Zenkai?  Presumably it is, but exactly how is unclear; it's not like the first game appeared to have any story, and this is really a completely different sort of game.  You play a mecha with a jetpack, moving with the arrow keys (5 on the numpad changes facing) including a recharging jetpack.  A and S fire homing rockets out of the fore and aft, and D fires your beam, which is the only limitless ammo weapon you have.  In contrast to the previous game, you can take quite a few hits before dying.