How do I view a song's composer on my iPod touch?
There's a small app you can find here
Don't worry, it's all Japanese. But the app works really fine and reads all (!) ID3 tags of the current song playing.
Since I am listening preferably to classical music, too, I hate iTunes non-existent ability to show all relevant tag information.
I don't think this is possible in the default 'Music' app which is quite simple and straightforward. The only solution would be to add the composer to the track's title but I suppose you already thought about this one...
Finding another app for paying music but with more options would be another solution. Are you open to having another application for playing music?