Google "The Basic Repertoire" and you will find a lot of suggestions on where to start your exploration of classical music.
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Personally I'd firstly recommend just listening to BBC radio 3 via their free BBC iplayer. And see what grabs you.
Apart from being free the main advantage of this approach ( as apposed to say Spotify, which is useful only once you found something to your tastes in selecting a specific performance ( just as important and thrilling for the classical music lover).
is you don't need to r choose the music/ composer first . Just select a program and then just go with it.
I'd recommend 'through the night' as my first choice, a great cross section of works without too much talking and then say 'breakfast' and 'essential classics'
You hopefully have a wonderful adventure and experience in front of you!