In addition to Santa Lucia, there are Bat Overture, hungarian rhapsody, Lullaby, Barber of Seville, Chatting Polka, Blue Danube, Waltz of the Voice of Spring, Auld Lang Syne, Rachmaninov, and many works by Chopin.

There is Rachmaninov in Flying Tmall, which seems to have appeared in other movies, so I can't remember.

The Lion Escaped from Danger ends with Auld Lang Syne.

hungarian rhapsody is an episode in which Jerry sleeps on the piano.

It seems that Santa Lucia has appeared in several episodes. What I remember clearly is the episode in which Tom and Jerry met a mouse in Italy.