Sharing my experience. I would echo what stridr69#AC has said.
I have a RAZR MAXX HD. It is still running the first ICS because I will not drop Mass Storage Mode despite Google's insistence to do so. Troubleshooting is what I do.
The skip problem just happened today for me, with the Play Music subscription. It actually happened before with Dropbox music but I thought it was a network condition. Also happened with Amazon, so I know it's not the app.
Does not skip at all when Bluetooth is not engaged - i.e. if I use Y-cable AUX or just direct phone play. That means it's not the phone.
Does not skip when connected to my Logitech Bluetooth speaker at work nor my Vizio headphones. That means it's not the phone's Bluetooth stack.
Does not skip on non-skippables such as phone calls and whatnot. That means it's not the general Bluetooth of SYNC.
Other phones have the same issue. That means it's not just the RAZR MAXX HD nor the OS.
The one common factor here is the SYNC application. Based on the behavior, I think it's somehow triggering some sort of "seek" mode via Bluetooth when it shouldn't. I couldn't find a setting that would affect this. But it's the only thing that makes sense.
Also, I notice mine is on a different option every time I start the car. If I leave it on Sirius, I'll come back later and it's on AM radio. Or it'll try autoplaying my Bluetooth music even though I've turned that setting off. Or it'll try playing some news channel from Sirius.
I think it's SYNC.
To validate this, I'm going to pull my iPod Touch 5g from work, connect it and see if I can replicate the same behavior. If I can't, then I'll try one of my other tablets, like my Kindle Fire or Nexus 7. If they do it then it's definitely a SYNC issue but specific to Android devices. If the same thing happens then SYNC in general is screwed up.