Very good observation TimeToGetAlone! That was new to me. Brian and Mike were very much inspired by these R'n'B and Doo-Wop groups and you can find more cases of Brian using other songs to write his song around it. I love these kind of things and find them fascinating. Anyway, here are some examples that come to mind:
Buster Brown - Fannie Mae
https://www.youtube.com/watch?v=pVNcqb2a3KA (The Rolling Stones also based a song on this one called "The under assistant
westcoast promotional man")
The Beach Boys - Help me Ronda
https://www.youtube.com/watch?v=FKQpZReo5TcLittle Anthony And The Imperials - Going Out Of My Head
https://www.youtube.com/watch?v=UKf3oDOV5T4Brian Wilson - Gettin' in over my head
https://www.youtube.com/watch?v=ykq9ilSlg9YThe Ad Libs - The Boy From New York City
https://www.youtube.com/watch?v=3TPYmeSqLjcThe Beach Boys - The girl from New York City
https://www.youtube.com/watch?v=xL5j1xbIc6IFreddy Cannon - Palisades Park
https://www.youtube.com/watch?v=dnLCvpgPD_sThe Beach Boys - Amusement Parks U.S.A.
https://www.youtube.com/watch?v=pliTCOVdU1A (btw I've never seen that picture in this video - anyone have it without the writing?)
Dionne Warwick - I say a little prayer
https://www.youtube.com/watch?v=tLCRUWCETK4Brian Wilson - Saturday night
https://www.youtube.com/watch?v=83vBf6DgieIThe Crystals - Da Doo Ron Ron
https://www.youtube.com/watch?v=L0dikX80Ed8Brian Wilson - He couldn't get his poor old body to move
https://www.youtube.com/watch?v=92aSIjtQiJwThe Chiffons - He's so fine
https://www.youtube.com/watch?v=2myvWl2YsIASharon Marie - Thinkin' 'bout you baby (also recorded with American Spring, reworked as "Darlin'" for Redwood, eventually released by the Beach Boys)
https://www.youtube.com/watch?v=Ll44OSbBkGIThe Silhouettes - Get a job
https://www.youtube.com/watch?v=ysKhbaLyIFwThe Coasters - Along came Jones
https://www.youtube.com/watch?v=MrGaoSB0EusThe Beach Boys - She's goin' bald
https://www.youtube.com/watch?v=tA0GKbt0r7YThe Corsairs - Smokey places
https://www.youtube.com/watch?v=EGDvR-7ughYThe Beach Boys - Sunshine
https://www.youtube.com/watch?v=_L4GJMSFmMg The Beach Boys' song started out as a cover of the Crystals' "Little boy" iirc
https://www.youtube.com/watch?v=PZa3IWQTiuEI wouldn't be surprised if there is more, especially in Brian's output from '71 - '80 (and of course his unreleased songs) and the very early days but I'd have to research more.