WHEN I BROUGHT Amazon video streaming into our Irish home, the first thing my wife wanted was the service on a TV screen. I'm halfway there--we bought ourselves a media player from Western Digital that gets our YouTube content onto an inexpensive TV.
Getting Amazon Prime onto the TV screen takes a little more work--probably with an Amazon Fire TV connection and a little tweak from Overplay.net. Our major problem is with the 12-year-old Sony Wega television. It doesn't have an HDMI port and I don't know how effective the frame rate will be if I get a SCART-to-HDMI adapter.