Generally, searching for "piano cover" + a popular song's name in DDG, Google, and YouTube yields videos of instrumental covers, not someone's personal accompanying-instrument-and-voice arrangement that they play for the video, as one would find searching "guitar cover." If one wants to listen to instrumental guitar covers, one can use "instrumental guitar cover" or, even better, "fingerstyle cover" [guitar is implicit; most results aren't ukulele]. What is a search term most likely to yield recordings of piano and voice arrangements of other popular songs?
EDIT:
Original title: What is a commonly used term for "Arranged for piano and voice"?
To clarify: I am looking for recordings, as video or audio files, and not sheet music. Except for tutorial videos for beginners, these mostly tend to be instrumental arrangements.