How Do You Organize Your Music?

I don't - every CD is available using a search function from listening chair...nothing is ever more than a "click" away.

Used to be alphabetical. After we moved into our new home, they just got placed in the cabinets to make space available to move around in. They're rather mixed up, but I know where the records are, and where the Cd's are. I'm actually starting to remember where most of the artists are in the cabinets. Should get organized, though...

CDs & 4-Track alphabetically, records partly by label

Bibliomantically. Subsequent to listening, I toss each record like a yarrow stick and place it in whichever of my eight different piles it lands nearest. Naturally, each record is, itself, determined to be in one of eight different categories, according to whether its yin and yang are old, new, or some combination of the two.
Then, through divination achieved by scrutinizing this new configuration, I determine what to listen to, next.
Of course it takes years of training before one can do this, properly. Best to adopt Confucius' dictum and not adopt this technique until one's later years.
I hope this helps.

Non-classical and classical separately. Non-classical by artist. Classical by composer except for compilations that are organized by performer. A few separate sections: sound tracks, individual audiophile labels, etc.