Chrome works great in Linux. You also have Chromium which is the open source variant of Chrome.
Chrome is my preferred browser. Amazon Prime and Hulu all work with no issues. Crackle is another that works just fine.
Honestly, the real issue about streaming in Linux revolved around Netflix. Netflix uses Silverlight to run it, and therefore is not compatible with Linux because for some reason Microsoft doesn't want to support open source
That subsequently led to a common perception that streaming on Linux was not available, which is false.
The issue revolved around DRM (Digital Rights Management). In order to get content Netflix needs to maintain DRM, and Silverlight supports it. Flash doesn't. So, the big argument from Netflix has been that it can't drop Silverlight because of DRM issues. However, Amazon Prime, which doesn't use Silverlight manages to have DRM where necessary. Google Chrome O/S, which is a Linux variant can run Netflix via their proprietary plugin. Android is a Linux variant and it runs Netflix as well. Crackle and Hulu are able to stream content and they don't use Silverlight. Everybody got excited about Redbox and it's streaming service only to find out they chose Silverlight as well. The truly unfortunate thing about it all is that Netflix is the most popular for a reason. It has the best interface, and my kids can navigate it easily. It's also commercial free unlike Hulu and Crackle.
Ultimately, Netflix didn't want hackers (as the world sees Linux users) to be copying content to their hard drives. This is understandable, albeit stupid, when you make a stereotype that Linux guys are more likely to do something like that than Windows or Mac users. We all have the same access to torrent sites.
In summary, with the new Pipelight plugin, there's nothing you really can't stream anymore. You're still using Silverlight, so DRM is in place and everything is perfectly legal, although not necessarily legit in the eyes of the evildoers over at Microsoft and in Hollywood.
Here's a summary of what my Mythbox can do.
Watch live TV just like I was using a proprietary DVR, i.e. pause, rewind, fast forward, etc.
Record live TV.
Maintain my entire video library of movies, videos, etc. I have about 1 TB of data that I maintain. All these movies are menu driven and accessible with just the touch of a button.
Rip a DVD or Bluray and put it immediately into my library. Let me go into a little more about this. When I put a new video in my library. I put it in the appropriate folder and do a rescan of the library (two button clicks on the keyboard) and metadata and images are pulled off the web. It's really slick.
Stream content, INCLUDING Netflix. I've always been able to do Netflix, but now it's just easier with Pipelight. Before, I was using a virtual machine which added about 10 seconds to my access time.
Stream my entire library, including recordings to any computer in the house that has MythTV on it.
Browse the web, i.e. Youtube, or whatever else you want to to search for at 3 am when the family is asleep.
Most importantly, this all cost me NOTHING. All the software is free, legally. I don't have any antivirus, anti-malware, etc bogging down my computer. It's a pretty liberating experience.