The Translated songs (Honyaku shōka, meaning "translated songs") in the narrow sense are the foreign-language songs that were translated into Japanese, when Western-style songs were introduced into school education in the Meiji era (the latter half of the 19th century) of Japan. They were distinguished from the songs which appeared in the music textbooks of the Ministry of Education that were made by the Japanese. Translated songs in a broader sense means any foreign language songs that have been translated into Japanese.
Here are typical translated songs in both narrow and broader senses: