I thought of a few examples, but want some more. Don’t count songs with nonsense lyrics or instrumentals without lyrics. Don’t count bilingual songs (unless neither of them is English, or if the English portions are commonly omitted). Don’t count songs primarily popular among immigrant populations or others fluent in that language.
Basically, songs an American monoglot could sing along with, but couldn’t translate.
Yuve Yuve Yu by Mongolian band The Hu
I wasn’t expecting a Mongolian answer to show up here, so this is great.
Anyone who has played Jedi: Fallen Order or Jedi: Survivor will recognize The Hu from the intro song in Fallen Order. In Survivor they have 3 songs on the jukebox as the band The Agasar (one of which is Sugaan Essena, the song from Fallen Order).