A Shochiku uploaded the uncredited ending sequence of the original anime series online AstroNote.
In the video we can hear the theme “Kokoro no Kagi” by Maaya Uchida It is Takumi Miyasaki like your characters.
The animation is from the studio Telecom Animation Film, Shinji Takamatsu is the chief director, the direction is Haruki Kasugamorithe argument is Kimiko Uenothe original character design is the responsibility of Eisaku Kubonouchi and the character design in the anime is Maho Aoki. The art direction was handed over to Reiji Kasuga and music is the responsibility of Kohei Munemoto.
In the description of AstroNote we can read:
Takumi, a talented chef, has just been fired from his job. He gets a job at an old boarding house called “Astro-sou”, but is a little hesitant to accept when he discovers that he will also need to live there full time. That is until he meets the beautiful and charming caretaker, Mira, who makes Takumi change his mind very quickly. The two begin to work together, and the connection between them deepens. However, Mira keeps a deep secret: she is not from this world!