A little vague, depending if you mean most famous as in the most watched or the show the most people know of but not necessarily watch.
If it's the latter, then the answer can't possibly be known without doing extensive research, if it's the former, famous in which year? which decade? what genre?
The closest thing to you answer is to check the provided link.
There isn't a singular "Most Popular" TV show since ratings vary from week to week, month to month, year to year. Then of course are you referring to Network, Cable, Syndicated shows... are you speaking of the Summer season or during the Fall seasons when all the new shows appear.
Also you have to factor in location, the most popular in America, the U.K., Australia, Botswana? It's very hard to determine the "Most Popular" with something as generic as a 'TV Show' when there are and have been thousands of TV Shows through the years and from around the world.
Now, having said all that... American Idol holds the record for the most consecutive spots at Number 1, but that's only for 8 years so it's not necessarily THE most popular.
The best thing you can do is visit the provided link each week and view the Nielsen ratings each week. Naturally of course these are the numbers for America only.
Naturally the numbers will change from season to season but currently, at the end of the 2011-2012 season, the most popular shows (i.e. number of total viewers) are...
Hidden camera TV shows are still popular. Shows such as AFV, Boiling Point, Cheaters, and Spy TV are still popular shows that involve a hidden camera.
I believe Perry Mason was the most popular tv show in the 50s. They started releasing episodes in 1957.
The Bachelor is one of the most popular reality television shows on cable tv in the United States. There have been spinoff versions of the show including Beauty and the Geek, the Bachelorette, and Tila Tequila's.
According to Nielsen and other companies that did television ratings, NBC had the two top programs-- Seinfeld (a comedy) and ER (a hospital drama).
I dont know what the most popular tv soap is but my opinion would be estenders I love eastenders. It is the best tv soap in the world but that is my opinion
In Asia the most popular TV shows are dramas and reality shows. They include Pure 19, Coffee Prince and Sawang Biang.
The most popular TV show on ABC is The Bachelorette. Some other popular TV shows on ABC are Modern Family, Jimmy Kimmel Live, Pretty Little Liars and many more.
Television had not been invented in 1037.
Some of the most popular TV shows in 2007 included "Grey's Anatomy," "Desperate Housewives," "CSI: Crime Scene Investigation," "House," and "Lost." These shows attracted a large viewership and were talked about widely during that time.
The Bravo television channel airs a variety of different shows. Popular television shows include Top Chef, the Real Housewives, and Project Runway.
One of the most popular are Kargin Serial (Cool Serial)
ER or Buffy the Vampire Slayer
Winx Club is widely known as a popular TV show that originated in Italy.
According to TV.com, NCIS was ranked 1 in the top 10 most popular shows of 2010.
Drama, game shows, sitcoms, etc.
The Wizards of Waverly Place, Hannah Montana and The Suite Life of Zack and Cody are some of the most popular Disney Channel TV shows. Good Luck Charlie and That's So Raven are also popular with older children.
During the 1930s, some of the most popular TV shows included "The Milton Berle Show," "The Chevrolet Tele-Theatre," and "The Jack Benny Program." These shows were early examples of variety shows and comedy programs that captivated audiences with their humor and entertainment value.