Voltage is all around us in the environment. If one of the AC devices like the heater had faulted to the water you would read line voltage, ~110 in the US. Modern DC motors that use pulse wave modulation to control the speed of the motor can read almost anything on cheap meters hobbyists have.
Your title says current.
Have you measured your current to ground? I doubt you have much since you haven't mentioned getting shocked though.
Most likely what you are measuring is induced current which is mostly harmless.
AI blab blab
Induced current in a fish tank arises primarily from electromagnetic fields generated by electrical equipment such as pumps, powerheads, and fluorescent lights, which can induce a voltage potential in the water due to their proximity to the tank. This induced voltage is a common occurrence in aquariums with electrical devices, and it is typically not harmful to fish or aquarists because the current flow is minimal and lacks a complete circuit to ground.
That last part. Lacks a complete circuit to ground.
Add a ground probe to your tank. All the induced voltages will disappear. It will also provide a way for a GFI to work before you stick you hand in the tank if there is a fault.
Actually they wont disappear, they will still be there but you cant measure them anymore.
Now the nasty part. If a wire gets exposed to water in the tank it is most likely made from copper. It is the copper driven into the tank water by electrolysis that kills everything usually and not the electricity.
With stuff unplugged feel and look thoroughly at all the cords that enter or are around the tank and make sure none of the insulation is damaged. A tiny film of dampness with salt can bring power to the tank from a cord that doesn't actually go in it. The salt from splashes evaporating will draw enough moisture from the air to make this happen.
My cat as a kitten loved to chew on wires in places you could not really see them. This was a real problem a few times.
Also check anything with magnets. They can be a real poison bomb if the coating breaks down and exposes the magnet to saltwater.