Under The Covers: Other Artists Covering Beatles Songs: ‘Thank You Girl’- The Smithereens. I hate to fall back on The Smithereens again- but I couldn’t find another version of this minor early Beatles song done by anyone else. Not that I would have found a better cover than The Smithereens anyway. “Thank You Girl” was the b-side to the “From Me To You” A-side released in 1963.