Great idea about the menu. I like the mood and old school feeling. Very dope the matrix boss.
Some considerations about the gameplay:
The jump was floaty and it will be interesting to add some timer to allow the character to jump even when it's a little bit off the platform, I think this will bring more fairness to the game and flexibility.
I don't know if this is intended but, the enemies restored their lives in patrol mode, and sometimes even when I shot them the life doesn't go down.
The laser weapon is extremely overpowered, it took less than 1 sec to kill the second boss, if is not intended, it needs some balancing.
It will be nice too, to give more feedback to the player, a vfx or sfx for reload the weapon and some kind of map or something for orienting the player.