You can use the Media APIs to do this. This gets all the videos that have been modified since the given time. The call you would use is:
Get the id of all videos that have been modified or deleted since March 3rd, 2003.
The date, specified in minutes since January 1st, 1970 00:00:00 GMT, of the oldest Video which you would like returned. The format returned is JSON but if you wish it to be RSS, simply add in output=rss like this:
You can see more examples of the Media APIs here:
http://docs.brightcove.com/en/media/#Video_Read
If you press the + next to each, it expands with details and examples.