I just came across a little app that helps find lyrics called MediaHuman Lyrics Finder and is available from
https://www.mediahuman.com/lyrics-finder/Note that it called out to Google Analytics a few times during installation and first launch, which I temporarily blocked in my firewall. After the first launch I unblocked it and it hasn't shown up again.
This will not automatically add lyrics to your track but will display them so you can copy and paste. Or you can opt for them to be saved as a text file one at a time (on right-clcik) or all at once.
I can't figure out what it uses as a source, but if it can't find the lyrics you can right-click and it opens up one of four (user-selectable) weibsites: Google, Bing, Yahoo, or Yandex.
In my small test I'd say it's got a better than 50% success rate. You can configure it as one of MB's external tools, put it in the menu bar and/or hotkey.
At this point I don't think it's better than the LyricsReloaded (Updated) plugin, but it's always nice to have another tool in the box.