New to classical music

My take. Buy CDs after you've listened to lots on Tidal. I have been listening to classical music for over 70 years (not a typo). Grew up with it. Google "Gramophone best recordings of".... Beethoven, Chopin, Rachmaninoff, Dvorak and Bach as a starting point. Listen on Tidal to those specific recommendations and let your tastes grow from there. You have a lifetime of enjoyment ahead of you. I am still constantly hearing things I have never heard before. The website "Talking Classical" has amazing lists of the best and most important pieces listed by type once you know what you really like. Be sure to check it out as well. Have fun. An amazing journey awaits.

Edvard Grieg has been mentioned in passing, but specifically, try "Peer Gynt".  Lots of drama in there, and you will recognize a few of the melodies from movie soundtracks, tv commercials, etc.  Make sure to get a full orchestral version since there are other versions (e.g., solo piano, etc.) that wont' give the full effect.

Mozart. That's all.

Lots of great suggestions here.  Just dive in.
rpeluso -- I saw Pollini, too.  Started off with Chopin, and finished with one of those wild banging pieces he has a predilection for.  His hair was flying.  Many conservative concertgoers walked out.   I loved the heck out of it!