Was looking for ages to find some audio examples and came across this site:

Thanks for the post JM
 
I guess we are all guilty of using the term out of Phase when we should really be saying the polarity is reversed like in the example of speaker pairs. 
 
One example of phase ( timing ) is in live recordings where the drums leak into the vocal mikes or visa versa. The result is is you play both tracks they will be abnormally dead.  You'll find flipping the polarity on  one brings them back up in the mix. 

pls check the date before posting

Yeah I did, but I figured no one else had replied with any audio examples and this thread was on the first page of google when I was looking for an answer, so thought it still might be helpful to some people!

Remember the old Beatles recordings with instruments very hard panned. Imagine those sounds were supposed to sound stereo. 

Use sonitus phase on a track in combination with a phase meter. Adjust the phase and listen to what it does while you see the correlation meter move toward the negative side.

Out of phase is when your ex tells you that she works in the day and you work in the evening and you aren't contributing to each other

There's no need to look for audio examples of phase problems, an example is really simple to create yourself.
 
Load a full-kit stereo drum loop into an audio track. Drag it out a few times and loop it.
Load Channel Tools into the fx bin.
Then play around with the L and R phase-flipping switches in the top left box. And the Delay parameters, but only one side of the stereo image at a time.
 
That should give you all plenty of out-of-phaseness to be going on with.
 
You can also load any commercial or your own finished stereo audio into a Sonar track, put the Channel Tools on it and phase flip away.

You can find a few audio examples here:  http://www.audiocheck.net/audiotests_polaritycheck.php
 

https://www.youtube.com/watch?v=dSpHKVdIlgM    Heres a good example of a problem and a fix