I was wondering if it is possible to get a 2 TB External HDD that will connect to my HDTV through HDMI and allows me to put Blu-Ray movies on it to watch and browse through the movies?
I see no reason why you couldn't. However you wouldn't be able to to hook the 2TB external up to the TV directly, you'll need it hooked to your desktop and have your TV run via that. It's also important to make sure your computer is up to the task of playing a complete blu-ray rip with its high bit rate. If not, you can always re-encode but it will take a long time.