Suggestions, please...

How about Respighi's "Ancient Airs and Dances"? The Mercury recording is available in both mediums. Bach's "Cello Suites" are very nice, as are the "Goldberg Variations", especially Glenn Gould's reading of them.

Please list the particular pieces of compositions that you like from your list of composers.

Rachmaninoff not classical??
If he lived in 20th century id doesn't mean that he's not classical. He is by all his means and ways to write music and so is Prokofiev, Skryabin...
Alphred Schnittke is another story...

Auaarons:
Mozart-everything.

Vivaldi-"The Four Seasons" and "Gloria"

Saint-Saens-"The Swan" and "Danse Macabre"

Rachmaninoff-Piano Conc. 2, Piano Conc. 3, Variations on a Theme from Paganini

Gershwin-everything, but "Rhapsody in Blue" is my favorite.

Slipknot1-Ancient Airs and Dances sounds interesting...I will have to check that out. I've heard of the "Goldberg Variations" but don't know if I actually know them.

Marakanetz-I said that because I had a piano teacher who constantly corrected my for saying he was "classical."

Thank you everyone!

The piano teacher was technically correct. "Classical music" is music of the classical era while Rachmaninov was of the "romantic" era. We tend to use the term "classical" to cover several eras.