https://www.lytro.com/cinema is about the closest, but costs a lot. It looks really cool, but ultimately cameras are only tools. We control what they see and shoot. I doubt there will ever be a camera that will allow us to edit everything like you are saying, as awesome as it would be.
The Panasonic FZ2500 seems expensive for a fixed lens camera and 1" sensor. I have a GH4 from Panasonic and love it. If that is out of your price range, I've heard great things from the Panasonic G80/G85. I'd definitely look at cameras with interchangeable lenses. You will get way more flexibility.