Q: In Zombie Fluxx, when a Goal says “and no Zombies” does that mean there can be no zombies on the table anywhere, or just in front of me?

A: It means that you, personally, have to have no Zombies in front of you, in order to win with this Goal. It doesn’t matter if other people have Zombies. For that to be the case, in this version, there would have to be wording like “…and no Zombies in play anywhere on the table.” I don’t think there are any Goals that call for that scenario, however.