People like to have their TV on all day long: with a projector you can't, because it won't be very visible in daylight and it will burn through lamps like it's popcorn.
Second point, modern TVs usually have a tuner in, you plug them in and they work. Also you don't need to adjust the image until it's rectangular.
You don't need to have a line of sight for a TV, chairs and people are not an issue.
Before I first set it up, I expected the configuration to be a lot more tedious than it actually was. If you have the computer, some sort of sound system and your TV receiver lying around, all you need is a switch for the different audio sources and you can basically plug it all together. (In my setup, TV does not go through the computer. We don't have Hulu, HBO or Netflix over here.)
I'd say about 80% of the work was mounting the beamer to the ceiling and getting the upper hand on the cable mess.
Also, televisons often offer more features like usb, networking, sound and cec. I'm not entirely sure about most beamers, but I don't believe they offer the same integration with a chromecast or raspbmc that my current 500 euro sharp aquos does.
I use the TV for BBC iPlayer, Netflix, and Viki (I'm into asian soap operas) I use the Apple TV for Youtube, The PS4 is for Battlefield 4, I use Airplay for anything else
TV is still king in these situations.
Me: "Do you mind if I nail these cables to the walls in our living room?"
Her: "Whatever. Just be done by tonight so we can watch something."
This time, I worked with well-hidden cable conduits and it is not that noticeable any more.
At the time, we were living with an unfortunate flat layout which placed the bedroom directly next to the living room. So in order to avoid waking up the child, we started using headphones (and have never stopped doing so since).
Since I had checked before buying the beamer that it wasn't too loud, using (good) headphones had the side-effect that beamer noise is now an absolute non-issue for us.
I find it enlightening how all these responses show that my setup really isn't the right thing for everybody. In retrospect, I was also not consciously aware of all the quirks that my wife and I were willing to accept (headphones, cable conduits, TV only in the evening).
Nonetheless, as beamers become brighter and less noisy (LED?), they will probably become attractive to a wider range of people.
When I replaced my TV about 4-5 years ago, I bought a 500€ beamer and a 100€ retractable canvas. Sure, that beamer only has 1024x768, but today you'll certainly be able to buy something significantly better in a similar price range.
With my living room PC connected to the beamer, my "screen" is 1.7 meters wide, I can watch movies, television, play games, have internet, linux (rsync!, ssh!) and all of that significantly cheaper than any "decent" television set.
Why do people (given they have the space) still buy televisions?