Some of the most popular Hindi MP3 songs of recent times include "Tuje Dekha To" from the movie "Dilwale Dulhania Le Jayenge," "Kuch Kuch Hota Hai" from the movie "Kuch Kuch Hota Hai," and "Mast Magan" from the movie "2 States." These songs have become iconic and continue to be popular among music lovers.