My Solution:  
I have Galaxy Note with Jelly Bean. After updating to Jelly Bean my battery started draining very fast.  
This worked for  Google Music and the Google programs I don't use (also Maps, which I do use). 
1. Go into Google Play> select the program you want to remove from background  > Settings > click Auto-update apps > select 'do not auto-update apps' if not already selected
2. Settings > application manager > select app > uninstall updates
3. Settings > application manager > select app > force stop
I'm not 100% sure what I did next, but I think I went:
Settings > application manager > running > show cashed processes at the top > select act > stop, then go to "All" at the top select the process and disable it if you want to. 
I did not disable Google Play Music, and when I look in my Memory Booster Lite program it no longer shows as running.  Again it still loads when I press the Icon, just much slower.
Same for Google maps.  In the "travel" folder I created, I now see com.google.amdroid.maps rather than the Google Maps icon. When I click on it it still open, but does not load as fast. 
Unfortunately I still have 40 programs running in the background, so have to work through them one by one.
Once the 4.3 comes out I think I will root my phone so that I can do this much faster.  
Google Music no longer runs in the background nor does Maps.  From #3 I could have selected disable, but did not. If I go into the "Music" folder I created, the icon is still therel