Best exif viewer by far is a program called Exiftool.

Problem with Exiftool is that it command line only.
Great if you're a hardcore geek type, so that means for most of us, this is really quite impractical.

But! there are a few graphical frontends for it, so you can use it as you do with all your PC programs .. point click and watch all the pretty blinking lights!

So to get any usefulness outta Exiftool, there is a program called ExiftoolGUI that can also be downloaded for it.
Easier to set up than it seems, and then you have one of the most powerful exif viewing programs .. but only for viewing the exif on images on your PC!!! .. doesn't have any U-beaut web ability.

To get this U-Beaut web ability for Exiftool .. you can use an online web application that uses Exiftool to generate exif info on an image you load up into it that's on the web.
That service can be found at Jeffrey's Exif viewer ... here.

Note tho, not all image have their exif intact.
Many programs remove, strip, distort or cull much ... if not all ... of the exif data in the image.
Sometimes it's the website itself that doesn't allow the exif data to be downloaded(for whatever reason).

So if you come across an image with no exif data, there are many reasons as to why this is.