here is a list some of my favourite composers, 1. Mozart 2. Shubert 3. Mendelsohn 4. Vivaldi 5.Holst my personal favourites from those compsers are the four seasons [vivaldi], Symphony numbers 3, 4 and 8 [ unfinished ], Elijah [ Mendelsohn] also the planets [ holst ] and all piano cocertos written by mozart and piano sonatas by beethoven and well mind you there many other songs or compositions written by these great classical artists.
I love Debussy. Give this one a shot if you've never heard him before... https://www.youtube.com/watch?v=Dzc88YWVi68&feature=related"]YouTube - Debussy: The Girl with the Flaxen Hair
Chopin and Liszt are my most favourite composers. Two songs I'd recommend listening to would be Fantasie Impromptu in C Sharp Minor (Chopin) and Hungarian Rhapsody No. 2 (Liszt). There are a few other songs I like but I can't remember their names and will check it out later for you Edit: Not sure whether you've heard it, considering you're a Beethoven fan but Allegro molto e con brio, the first movement from Sonata no. 8 in C minor op. 13 is a nice song too. Other nice songs are Nocturne in E-flat major (op. 9, no. 2 - Chopin), Nocturne in C minor (Op. 48, No. 1 - Chopin), Polonaise in A-flat major (op. 53) and La Campanella by Liszt. A fair few Chopin ones there, probably because he's my favourite composer and I have a whole book of his songs
Be sure not to forget Tchaikovsky, Haydn, and Saint Saens. And there's also a lesser known but very beautiful music of Paolo Beneditto Bellinzani, too.
Mum used to play me Prokofiev's Peter and the Wolf "and if you listen carefully, you can hear the Duck, for in his haste, he swallowed her alive" Ah, those fairytales Though in my later years I prefered Holsts Planets for their cosmic atmosphere https://www.youtube.com/watch?v=4NJHpVwT_Bk"]Gustav Holst Planets: Jupiter, Bringer of Joy (Montreal Symphony, Dutoit) - YouTube
Bottesini's concerto #2, https://www.youtube.com/watch?v=NOovWiog-tI&feature=related"]Bottesini Concerto No. 2 - Catalin Rotaru, mvt. 1 - YouTube https://www.youtube.com/watch?v=SR8YaZThaQ4&feature=related"]Bottesini Concerto No. 2 - Catalin Rotaru, mvt. 2 - YouTube
My son, playing at his junior classical guitar recital: https://www.youtube.com/user/ocguitar?blend=8&ob=5#p/u/3/mUa8TwyQHac
I once had a friend who had a huge record collection and wanted to add classical stuff to it, so he asked me where to start (I managed a classical music store at the time). I figured he couldn't go wrong with Mozart. He went out and bought "Don Giovanni" and never asked me about classical music again. The first time I heard "The Death Of Cleopatra" by Hector Berlioz was on the car radio, and I was late to work that day. It's hard today to realize how radical he was in his time. Almost like the Frank Zappa of his day.
What genres/instrumentations do you like apart from opera? I'm not very fond of operas but I like Orfeo by Monteverdi (a very very very old one) for piano solo music, both small and great, listen to Chopin for songs I'd recommend Schumann for symphonies, you might like to start with those Romantic composers that were really influenced by Beethoven, like Dvorak (8th and 9th "new world"), Tchaikovsky (5th and 6th "pathetique"), Brahms (4) and Bruckner (4), after these you should also check out Mahler, Sibelius and Rachmaninov and other Romantic era composers, and then modernist composers of the early 20th century like Scriabin, Prokofiev, Bartok, Ives
Beethoven, Mozart and Bach are all three but very little parts of a big tradition of music with all kinds of aesthetics and forms my favourite composers so far per era: Medieval: Solage & de Machaut Renaissance: Dufay, Josquin Desprez, Tallis, Byrd, Dowland Baroque: (JS) Bach, Handel, Vivaldi, Monteverdi, Frescobaldi Classicism: CPE Bach, Haydn Mozart and Beethoven (though it isn't my most favourite period at all) Romantic: Chopin, Rubinstein, Berlioz, Schumann, Liszt, Rimsky-Korsakov, Balakirev, Mussorgsky, Grieg, Tchaikovsky, Dvorak.... Modernist: Rachmaninov, Prokofiev, Shostakovich, Faure, Ravel, Vaughan Williams, Bartok, Messiaen, Varese, Mahler, Sibelius.... Contemporary: Penderecki, Tavener, Ligeti, Pärt, Xenakis (also not my most favourite period, but more importantly I just don't know much of it yet)
Easily the most beautiful 2nd movement of a piano concerto, Ravel Piano concerto in G, II. Adagio, Helene Grimaud performing: https://www.youtube.com/watch?v=5Fpim9AanqI Makes me tear up every time. Then there's always Daphnis & Chloe: https://www.youtube.com/watch?v=ziLUcDzQgV0
Seeing that this has turned into a kind of list of composers that exist and much that i would have written already has been written, i'm just going to say: Listen to Haydn if you want some very pure vienna classical style music. Listen to Ives. Just do it. Especially if you're american. If not, do yourself a favor and listen to his work regardless of your nationality