I was raised by frustrated classical musicians, OP, and I began playing the violin at the age of 6. This is not a boast! I know my music though. What sound do you like? Is there a particular instrument you like? The piano? An orchestral sound? Opera? I tend to like what I call modern composers because they can mix up classical and electronic and just explore everything in between.
I could suggest to you a few songs/composers from different periods:
A beautiful song- which also marks a well-known scene in Shawshank Redemption- is From Mozart's opera Le Nozze di Figaro 'Sull'aria'.
And then you can switch it up to something modern and beautiful by Philip Glass called Glassworks: Opening performed by pianist Vikingur Olafsson. This is a beautiful piece.
Another beauty is Bizet's opera The Pearfishers: Au fond du temple
Shostakovich's Jazz Suite No.2: 6 Waltz II is absolutely lush, beautiful with a little kick of kitsch. It's pure joy.
If you go on Spotify and look up Herbert Von Karajan, you will come across one of the best conductors ever. He conducted the Berlin Philharmonic for 35 years and to me, his recordings are the best. It's a great way to explore classical music and a wide range of composers.
Also on Spotify, I would look up the phenomenal violinist, Itzhak Perlman. Again, this is another brilliant way to explore different composers and their music.
Sorry to dash off. DH is summoning me to watch Better Call Saul!