If you're looking for similar to Abandon the Old in Tokyo, you might like these titles. All recommendations are made by Anime-Planet users like you!
Life proves again and again that you must accept the cards you are dealt, whether you live in a post-war era or are about to retire. From a woman in a relationship with an American soldier at the end of World War II, to a soon-to-retire man who conspires revenge against his long-time wife, to a man with a fetish for legs and shoes who tries to continue a façade of normality, and beyond, each denizen of Japan will tell their melancholic story of what is important to them.
Two compilations of older gekiga manga by the same author, Yoshihiro Tatsumi. While it's generally cliche to recommend something because it's the same author, Tatsumi's stories tend to be very similar: lots of dark themes, lots of sex, a pretty dismal outlook on society, and lots of unfinished ends (plenty of the stories in both compilations just 'end' without much closure, or flat out don't make sense). If you liked the style or tone of one, you will enjoy the other.
Many farmers, workers and housewives live eventful lives in pre-modern rural Japan. A man's daughter is being taken advantage of each night by a mysterious spirit, a young boy is intrigued by a mistress's daughter, even though his interest is usually met with a closed fist, and an old woman known as Young Bride is taunted by everyone in her village, amongst other tales.