In case you get here and scroll this far down, the newer Oracle versions of Java x86 and probably also x64 are horribly broken. You may find that after removing all versions of Java, and even manually deleting all the versions you find in c:/program files/ and c:/program files (x86)/ that you still can't properly run a fresh install of Java.
I'm here to tell you why, and how to fix it.
Go to C:\Program Files\Common Files\ and DELETE the Oracle directory. It has a version of Java underneath it inside a junction (symlink) that is sequestered away from all your other installs. Bastards.
Now, also go to System Properties -> Advanced -> Environment Variables and edit the PATH under System Variables. Find the place where the Oracle folder is referenced, and delete it. Close all your windows down, reboot to be extra sure if you want.
Install the JRE or JDK. Open a command prompt and type 'java' and if it comes up, you're golden. If not, go back to the PATH variable and add "C:\Program Files (x86)\Java\jdk1.8.0_221\bin" or whatever looks right for your machine.
I hate Oracle.