Lyrics are often available on bandcamp.com for the stuff they sell and I don't think those are site-indexed anywhere. Search there for the artist which if they are on bandcamp will turn up links to view albums/tracks. Many times, but not always, mousing to the right from a track name reveals a "lyrics" link that will show the lyrics below it:
Depending on the genre of the song there are tons of lyrics on metal-archives.com, break down to tracks and look for a "show lyrics" link to the right:
You could also take a look at Foobar with the Lyrics Show Panel 3 and the 3rd-party MultiDB lyrics plugin which include searches at Deezer, etc.