The Peel app should work on the GS3.
Sent From My Samsung Galaxy Note 10.1 Tablet
If you have a Samsung SmartTV or Blu Ray Player, you could try sideloading this
https://play.google.com/store/apps/details?id=com.samsung.remoteTV&feature=search_result#?t=W251bGwsMSwxLDEsImNvbS5zYW1zdW5nLnJlbW90ZVRWIl0.
It is supposedly not compatible with ICS and above, but apparently people have had success getting it to work anyway. I used to have it installed on my HTC Inspire--Not a fantastic app but it worked. Haven't tried it on my S3.