Lots of difference between waterproof and water resistant. Typically waterproof cameras are mose expensive becaues everything is 'o' ringed.
However, a camera that meets the IP54 satandard will be water resistant or able to take a quick dunk and still function.
I like the Fuji's myself. I have 2.
There is true optical zoom and interpolated zoom. Interpolated is the camera artificially enhancing the distance whereas optical is the actual lens set changing focal length. Both of my Fuji's have both with a stop in between gradients so you know when the camera is in mechanical and interpolated.
Finally, on higher zoom capability look for Image Stabilization (something the would be nice on sport optics and riflescopes) that takes the shake out of long distance shots without the need for a tripod.
I have a Fuji Finepix pocket camera and a Fuji Finepix S1000FD which I don't think is made anymore. The S1000 is a hybrid SLR (fixed lens) with 10X optical and 5X interpolated zoom with movie capability with sound and full manual or auto operation and image stabilization. It's been to hell and back on bike trips, hunt trips, camping, fishing, family outings, just about everywhere and it works just like new plus Fuji bundles some real nice imaging software with their cameras and for having a large preview screen and built in flash, it's gentle on batteries. I change 'em yearly and use the camera all the time.
I like the little bit bigger cameras better. My little pocket Fuji is hard to manipulate with cold hands or gloves on whereas the little bit larger camera isn't. Something to consider....