I believe you mean zuvembie.
At one point Zombie was banned by the comics code and they had to use zuvembie instead.
I think Marvel trademarked Zombie back in the 70's but it got shot down in the 90's.
As for the classical characters like Hercules and Dracula, they tend to be more free use due to the amount of time they existed. If you tried to copy the exact same version of something Marvel or DC used for Herc down to the same way of his speech, design and whatever then they could sue you but not just for using the character since it's too old to have one originating creator. Dracula had the trademark lapse I think so he's hung around with the X-Men and bit Superman once (guess how that ended).
Characters like Peter Pan are still held by either the owners estate or the inheritors of the characters so I think you'd get sued by them.