It will be hard to find enough people who each know all the cameras you have listed well enough to give you a definite recommendation.
I would like to help but I have only used the F11 and Z1 personally. While I like the compactness of the Z1, the image quality of F11 is way superior, and F11 has a better battery life (because of a larger capacity battery I guess).
Without knowing what matters most to you I would not know which one to recommend among the 2. Not to mention I would be totally clueless about the rest of the cameras in your list.
Have you read any online reviews? Care to explain a little more about the intended use you have in mind? Otherwise I doubt if anyone can give specific and relevant advice beside some generic coments about the cameras.