I think that young people are socially discouraged from preferring classical music over modern, popular music. But if you're looking for something with which you can truly and freely emotionally identify, classical music has, in my opinion, much more to offer.
Symphonies offer up their melodies to soaring emotions - intensity, bravery, anxiety, ecstasy. Classical guitar offers nostalgia. Brooding piano music is great to think to. Opera is chilling, humorous, and awe-inspiring. Choral pieces in all their grandeur remind the listener of the brilliant things humans can do when they work together - they offer hope. Besides the emotional connection one can make to classical music, there is a wealth of history and drama, lightness and darkness, associated with the long and widespread history of pieces that fit within the genre. They force the listener to look outside of their contemporary, well controlled context into the minds and experiences of hundreds of years of composers, musicians, and listeners.
Classical music can touch your soul while pop music barely skims the surface. Sure, it covers the gamut of human experience - from love to anger to desire to regret - but it rarely allows you to turn away from those feelings. It instead urges you to stay in the melancholy of an experience. Like gaping at Lady Gaga in a meat suit, you want to move on, but you can't turn away.
Classical music prefers your full attention, but doesn't distract you from going about your day. With each new song, you discover a new piece of history. You learn when you listen. And what you hear is organic. It is real, without sound mixers and auto tuning and synthesizers.
Through classical music, we realize that humans are immensely talented all on their own. We are given the aural promptings to work through our emotions, or we are distracted enough by the beauty of unified sound to let our emotions work themselves out. We are encouraged to see our life in the light of vast human history.
And maybe, through classical music, we will work less to create facades for ourselves and more to seek out authentic talent - to work hard and achieve something more beautiful, and more compelling, than popular music in its very nature ever can.