I found this short and sweet song by actress/singer Yumi Mizusawa（水沢有美）titled "Suki ni Naru Sozai" (Some Element To Be Loved Me). It came out as the B-side to her second-last of 7 singles, "Anata no Subete wo"（あなたをすべてを...All of You）in May 1971, and it was also a track on her first LP which came out at the same time, "Mizusawa Yumi to Paul Simon no Sekai ~ New York Voice Tanjo"（水沢有美とポールサイモンの世界～ニュー・フォーク・ボイス誕生...The World of Yumi Mizusawa & Paul Simon ~ A New York Voice is Born）.
Her singing career was much shorter than her time as an actress, but I do like "Suki ni Naru Sozai" for Mizusawa's light vocals, the bossa-inflected melody and a simple melody that works. Mizusawa herself took care of both words and music. I might say that this could have been a Junko Yagami（八神純子）number even before Yagami started her own illustrious career. The interesting thing here is that repeated keyboard riff which seems to make the song sound a bit more contemporary than it was.