It works much better if an app uses the API to only send the video stream instead of trying to do stuff through Chrome tab mirroring:Which apps? Most apps are just packaged things already available on the web for your mobile device. Why worry about an app if you can just stream it from a browser? HBO GO? Hulu? Amazon Instant? Max Go? Any streaming website? Its more useful then apps. The only downside is that you would need a laptop for that functionality instead of just carrying around your phone and tablet.
http://mobile.theverge.com/2013/7/24/4553368/hands-on-googles-35-chromecast-a-streaming-tv-stick
Video plays with only a bit of chop and stutter, and lips don't quite sync up with the audio, which could be maddening for some. Don't expect this to be a surefire solution for watching Hulu without a subscription.