Photo EXIF (keep camera, aperture, speed, focal length and ISO info and erase the rest)

It could be done though a script in Bridge, but I'm not very good at figuring out the proper namespace and code for that. I'm sure others here know more than I do. I think basically it would be a matter of copying a file's camera data, the deleting the exif, then creating a new exif and copying in the camera data.

I am not aware of an option in either Photoshop or Bridge. My usual recommendation for those wishing to have such fine control of what info to include and exclude is to use ExifTool. I can help with the required code to run to process your files if you are willing to use a command-line interface.