For me, 30 Rock will go down as one of my favorite shows ever. The writing was sharp and witty, loved the characters and Tina Fey's physical comedy, and I liked the fact that the show was never afraid to goof on itself.
So many great shows that were on TV but a few were notable for being a ground breaker -
I Love Lucy
Honeymooners
Ed Sullivan Show
Star Trek
Laugh In
Carol Burnett Show
Mission Impossible
Twilight Zone
Outer Limits
All In the Family
M*A*S*H
Dark Shadows
First 3 seasons of Saturday Night Live
...just to name a few
British also brought us some good stuff
Monty Python
Are You Being Served
Red Dwarf
PBS mini series including Henry the 8th and I, Claudius
It is hard to pick a fav but certainly many of the above paved the way for shows mentioned in many of the lists put on here.
Hill Street Blues
NYPD Blue
Mash
Fraiser
Seinfeld
I Love Lucy
King of Queens
Andy Griffith
Sopranos
China Beach
Batman 1966 Series
Kung Fu 1970's Series
Courtship of Eddie's Father
Magnum PI
Law and Order
All in the Family
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I love elementary. Not exactly a huge favorite among everyone, and I know many prefer Sherlock, but the new life into an old story is really cool and the screenwriters do a pretty good job. And the relationship between Miller and Lui is great.
DOCTOR WHO BY FAR!!!!!!!!!!! Just look at my user name!!! Doctor who best show of all time and the doctor can confirm that cuz he can travel anywhere in space and time.