Q: turn off shuffle and get my whole list of songs with alphabet index.  why did Apple wreck the good ol' itunes?  i am gonna switch to Android system...

Hello gentilepuppy42,

It sounds like you are tapping the shuffle icon turn it off, but it just turns itself right back on. I would quit the Music app first:

Force an app to close in iOS

1. Press the Home button two times quickly. You'll see small previews of your recently used apps.
2. Swipe left to find the app you want to close.
3. Swipe up on the app's preview to close it.

 
When you have done that restart the device and test the issue again:

iOS: Turning off and on (restarting) and resetting
 
If the issue persists, backup your device to iTunes, then restore it as new and verify that it works. 
 
How to erase your iOS device and then set it up as a new device or restore it from backups

If it does, then restore your backup to either verify it still works and the software just needed reinstalled, or isolate the issue to the backup file itself. Thank you for using Apple Support Communities, let us know how that goes!