Nobody here is leading you wrong. nathank rightly points out that classical music is execution-dependent. I'll go one further: Classical music is intended to be experienced live, within an acoustic environment where each instrument is its own emitter, arranged in physical space to provide an immersive, memorable event.
You will find a symphony orchestra in your town, or near it. They will have been rehearsing whatever it is you're paying them to play for weeks and weeks, and they will all of them be having a ripping good time. And the simple act of showing up under the age of 70 will be regarded as mind-blowingly cool by them (so long as you don't hold up a lighter or hoot at the top of your lungs). You should go. Don't be afraid to go alone, because, as mentioned, people under 70 who like to go to the symphony are kind of a rare breed. But what you'll find, if you hang out after the reception, is
A) they eat gourmet food
B) they let wine flow freely
C) They're rich AF and if you get to know them you just leap-frogged several social classes as far as hiring prospects are concerned
The above also applies to opera. Although opera is more expensive to go to. You may find that they give discounted tickets to dress rehearsals. This is how I'd managed to watch over a dozen performances by the time I was sixteen.
By all means - listen. Listen on headphones, listen in your car, listen on your phone, listen wherever. But if you're looking for recommendations, I recommend you go see the stuff live.