I know sites like Facebook are now using REST services, but I am wondering of other applications that use REST and if there are specific situations when the use of REST is more
You should consider what your clients want! Building a big SOAP service that nobody wants to consume will be a waste of your time. Similarly, if your potential users are steeped in SOAP then maybe that's what you should give them.
If you don't know what your users want, consider the sentiment of the industry. Most companies that expose a public API these days expose a REST API. I really like how Foursquare has documented theirs: https://developer.foursquare.com/overview/