How big is the tank?
If you run the lights on an alternate schedule you might want to consider a "nocturnal" tank.
If you run the lights during the night, that means during your day, it's the tanks "night", so that's when the nocturnals will come out. It's still light enough for you to see them.
Marine Bettas or a Flashlight fish if it's huge, or lobsters and other nocturnal inverts if its a bit smaller.