Phones often come with a classic "old-style phone ringing" ringtone. Have you tried all of your pre-loaded ones? Look for one that says "Classic" or "Retro."
Otherwise, install the Zedge app, search for "classic phone" or "retro phone," find a ringtone you like, and install it.
Alternatively, you could go to the zedge.com website using your browser and download the ringtone to your phone (which will appear in the Downloads folder). Then use a file manager app (like ES File Explorer) to move that ringtone to the Ringtones folder. It should then appear in your ringtone selection menu.