The better wider zoom end of the FX500 is nice but it is more expensive, most likely because of the touch screen. Which is perhaps more a gadget than a real asset.
I assume you are aware that these cameras both no longer have a viewfinder? If you didn't use the VF on your Fuji that won't be an issue. But if you did you should be aware of it.
Also this thread
may be of interest.
And have you used the features search
features at dpreview? Not perfect but still very convenient for this purpose.
The Nikon P50 also has a wider zoom. But a bit less range than the FX500. It does have a VF though.