More information.
Back to working on the Everyman idea, with a little more information.

I mentioned before that the mask switches hosts every night, and there's a reason for that. If someone wears the masks more than once in 24 hours, then the magical transformation it grants becomes more powerful. First, the transformation becomes permanent, instead of disappearing when the Everyman mask is taken off. After that, the person wearing the mask begins to gain superhuman levels of strength, speed, and endurance. At the same time, the host gains more prominence in deciding what to do while wearing the mask. Both of these effects are ongoing, with no known end in sight. This has only happened once, and the host started to become paranoid and excessive in using his abilities to stop crime. The mask was able to separate itself from that host, and this is the prime reason why it continually picks new hosts, instead of trying to find a dedicated person to use its power. It fears that the mental problems developed by its only long-time host might repeat themselves if another person wears it for a long period of time.

As for why it fights crime and evil, instead of trying for personal gain, the Everyman itself isn't sure. It wants to stop crime, and what it deems 'evil,' but it has trouble defining when it got this goal or why. I'm not sure on its origin right now, but I am trying to come up with one. It would probably have been created in the 1920s, though. Possibly as some kind of reaction to the Great War.

As for the hosts, they don't lose the memories of what they did as Everyman. But it's something they instinctively keep to themselves-a few have made contact with each other, but most just don't know anyone else who's acted as a host.

I think I've covered most of the ideas I've had for this so far.