There are a lot of lyrics websites out there. A lot of the ones in Musicbrainz’ whitelist are defunct, outdated or no longer accept new submissions.
-Genius is good but it will take you some time to figure out all of the features that you have access to as a Verified Artist submitting your own lyrics.
-LyricsWikia is good as well but be warned that the moderators on there are just as bad as on Wikipedia. You will need to have every page linked for them to not delete them, and they only give you a short window of time to do it. My suggestion is prepare all of your pages (song pages, album pages, band page, artwork pages) and then submit them all at the same time. Otherwise by the time that you’re ready to publish your second page, they’ve already deleted the first one.
-Musixmatch is decent enough and this one can be linked to streaming services like Spotify. It may be what you’re looking for, but as pointed out on this forum (in another thread), their database is really messy and they will not fix your albums’ track listing if there are errors.
-Songmeanings is one that I always used because fans can submit their own interpretation of the lyrics. I think the popularity of the website has gone down over the years though. This one isn’t whitelisted on Musicbrainz.
-Metrolyrics is another big one that shows up high on Google but isn’t currently whitelisted on Musicbrainz.
-Lyrics.com used to be the biggest lyrics website out there but they kind of ended up like Myspace after some bad revamping.
-Lyricfind was the big website that some years ago decided to pay royalties to songwriters for displaying their lyrics on Google and other streaming platforms but they went belly up. They no longer accept any new submissions and I don’t even know if their old database still works.
In the end, it comes down to what you’re trying to accomplish.
-Do you only want to have your lyrics on Musicbrainz-approved websites?
-Do you only want your lyrics on select top-rated websites?
-Do you want your lyrics available on as many websites as possible for exposure? If it’s this option, then just submit them to every “lyrics” website that pops up on Google.