If you're looking for anime similar to Otona Joshi no Anime Time 2, you might like these titles. All recommendations are made by Anime-Planet users like you!
Shouwa Monogatari is set in a different era from Oto na Joshi 2, but what I find so similar about the two is their way of getting into bigger historical/social issues by telling the story of a single person or family. If you like the realistic style of storytelling in Oto na Joshi, I'd highly recommend Shouwa Monogatari.
Located on a small street near the center of Rome, the Casetta dell'orso is a small yet popular restaurant staffed by a group of older, bespectacled gentlemen. Nicoletta is a twenty-one-year-old woman who has just arrived in Rome to meet with her estranged mother's husband, who owns the restaurant. She intends to inform him that not only was his wife married once before, but also that she is her daughter - a secret her mother desperately wants kept. When she arrives at the restaurant Nicoletta becomes enamoured with Claudio, one of the waiters, and begins to spend more time there. Despite the age gap, Nicoletta finds her feelings towards Claudio growing; and after making a promise to keep her mother's secret, Nicoletta begins working at the restaurant as an apprentice chef. Now she is trying her hardest to become a good cook, but can Nicoletta overcome the difference in age and win the quiet Claudio's heart?