This is the method I mentioned in my long post earlier in this thread that doesn't require another app.
If you get the [ "iTunes" can't be modified or deleted because it's required by OS X. ]
You can uninstall iTunes 12.3.1 in the following way;
01 : Locate iTunes in the Applications folder, click on it and press ‘Cmd key + i key’ for the info panel.
02 : Click on the padlock at the bottom of the window that appears (type in Administrator Password if needed to unlock).
Now change all the permissions to Read & Write. Re-lock and close the window.
03 : Now you can drag the iTunes app into the trash and delete it.