The OP reminds me of those high-school students who complain that Shakespeare is a bunch of boring rubbish that no one in their right mind would read unless forced to. I guess we’ve all been through that stage, so I will try to illuminate those who find classical music too difficult or inaccessible to enjoy. It starts with listening.
The trick when it comes to understanding complicated things–and I am not talking about 3-minute pop songs composed after the band leafed once through “Cords For Dummies”–is to perceive and understand the complexities involved, because they are invariably a carefully crafted part of the entire work.
Ever read William Blake’s “The Sick Rose”? It consists of only 8 short lines, but if you have never encountered it before, 5 hours of scrutinizing the 8 lines will probably not be sufficient to understand the poem. As you study it, and also the background required to understand the poem, a special intrinsic beauty develops right before your eyes, and you realize that each word–each sound–was placed so for a specific purpose. Once you learn how to appreciate something as complex as poetry–its emotional, aesthetic, and intellectual values–an entire new universe opens up.
So let’s not confuse poetry with pop songs. There is little poetry in modern music. S.T. Coleridge is poetry–Bob Dylan rather less so, although his contributions are important to an extent (Dylan is pop poetry). Most modern “musicians” are completely removed from poetry. On the other hand, there is infinite poetry in the music of the great famous masters: Mozart for the classical, Beethoven for the Romantic, and Bach for the Baroque period. Note that I use the word classical in this post generally to refer to a variety of music encompassing Baroque, Romantic, Classical, as well as modern composers.
To appreciate such music, I would suggest calming yourself, clearing pop tunes out of your head, letting some sunshine in, and listening to Beethoven’s 6th symphony (“Pastoral”) in complete peace (preferably with von Karajan conducting). The symphony describes a simple trip to the countryside. You may think that’s banal compared to the usual self-promotion, sex, violence, and desperate love everyone spouts these days, but Beethoven’s music paints both the landscape and his trip with strong strokes that are evocative and infectious; once you hear it you will never forget it, and will probably hum it without ever realizing on your next stroll in the sun.
Or, if you are the kind of person who wants major action in your music, nothing can beat the subtle and continuous complexities of Bach’s organ works. I recommend above all the popular and accessible “Toccata e fuga in D minor” (make sure it is in D minor), an extremely forceful piece the opening of which has been used in several horror movies to introduce characters of such majesty and power as Dracula (you WILL recognize the music if you have the correct piece). For the softer side of Bach, try “Triosonate”, which are highly defined and extremely soothing pieces.
For something mysterious, colourful, and adventurous, I recommend Rimsky-Korsakov’s “Scheherezade”. In particular, the recording with Riccardo Muti conducting, as that is the best interpretation I have heard of this piece yet. The piece is a beautiful and haunting mix of West and East, and uses subject matter from 1001 Nights. Or you could always choose “Flight of the bumblebee”, another outstanding work by the same composer.
If you want something completely abstract, wholly original, and devastatingly modern, try Luigi Nono: “Contrappunto dialettico alla mente” comes to mind, although his work is extremely difficult and relies on the total listening experience more than the development of themes.
If you want short, I can’t think of any 3-minute pieces. You can’t do justice to composers by listening to a 3-minute segment ripped out of a larger piece of music. But you could try minimalism, perhaps some of Philip Glass will interest you. Try “Glassworks”; it contains smooth, flowing melodies alternated with fast and furious climaxes. The pieces are about 5 minutes each or thereabouts, but meant to be listened in sequence, not individually.
My easiest suggestion is to rent out Disney’s Fantasia. I have not see the new one, but the original one has a lovely selection of classical music and animation, and the end segment combined Moussorgky’s “A Night on Bare Mountain” with an Ave Maria to describe… well, I can’t describe it in this already lengthy post (demons, darkness, spirits…), but it appeals to some very basic human images and I consider it Disney’s masterpiece. The whole video is excellent.
It takes effort to understand classical music, just like it takes effort to understand Shakespeare or Malory the first time you read them. Once you manage to break through the comprehension barrier, you will probably find the rewards are considerable, even if you do not like certain subject matter.