I don't use tiff simply because I never had a reason or need to use it.  As to which one is best to use then it would all depend on what you are trying to accomplish.  The file format that you should use should be based on your need.  So think of it as which file format is best for what you want to accomplish.

For me the JPEG and the PNGs are a matter of file size and background transparency. I often save my rendered files as a .png file because it allows me to do things like piece together a large scene or when I want the flexibility to postwork individual elements in my scene by moving them around within a graphics editor like Photoshop or Paintshop Pro. With a .png file I can work in multiple layers but with a .jpg file everything will be as one image.  .png file formats are also good if you plan on using your renders as clip art.
After I finish post working my image in the .png file format then I save the completed version just in case I want to change things around in the scene.  If I'm planning on posting the image online then I'll save my finished scene as a .jpg file.  This way the image meets the size requirements for many online galleries also the .jpg file format is much smaller in file size than the .png version of my completed scene so it will load faster as well.

If you ask a general question about which is best without defining what you are trying to accomplish then all you are going to get are posts like you have seen above. The best image file to save as for quality is all relative to what you are going to use the image for.