It won an Emmy this year for best comedy series, while Aniston won best comedy actress.
Silent clown Doctor Brown has won the prestigious Foster's Edinburgh Best Comedy Show Award.
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Both theatres offer the city's best comedy value after the last show most nights, when the comics present free improv performances.
And though 30 Rock keeps racking up well-deserved Emmys as best comedy, most people still refuse to watch it.
Actor Chris Langham - who played blundering minister Hugh Abbot - also won the award for best comedy performance.
"The Hangover, " a comedy about misadventures in Las Vegas, won the Golden Globe for best comedy or musical movie.
However, the show was only named winner of two categories - including best comedy, which it scooped last year too.
Other awards went to BBC Two's Olympic satire Twenty Twelve, starring Hugh Bonneville and Jessica Hynes, which won best comedy.
Glee creator Ryan Murphy also won a directing award, while Nurse Jackie star Edie Falco was named best comedy actress.
The best comedy is not just senselessly rebellious, coarse or cruel but uses its cruelty to make a further point.
However, they were both pipped by Lena Dunham, creator and star of sitcom Girls, which also won best comedy TV series.
Along with best original screenplay, best comedy series and daytime serial, there's a new category being featured, best video game writing.
Only two films in the past 20 years have won both Best Picture at the Oscars and best comedy at the Globes.
Co-writer James Corden, who plays Gavin's best friend Smithy, also picked up the best comedy performance award at the Baftas in April.
Best Comedy Nominations: Curb, Glee, Modern Family, Nurse Jackie, Office, 30 Rock.
The seven categories are: most creative, most inspirational, best series, best comedy, musician of the year, best commentary and "most adorable video ever".
Last September, he won the 2008 Emmy for Best Comedy Writing.
The Broadcast Film Critics named in Best Ensemble and Best Comedy and Lawrence won for Best Actress Musical or Comedy at the Golden Globes.
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On SAG's television side, with "30 Rock" ending its run, its stars Tina Fey and Alec Baldwin won the SAG awards for best comedy performers.
In the television categories Alec Baldwin and Tina Fey were named best comedy actor and actress for 30 Rock, giving Baldwin his seventh consecutive SAG win.
Other movies honoured at Grosvenor House Hotel event included 28 Weeks Later for best horror film, Hot Fuzz won best comedy and Stardust was named best sci-fi film.
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Hollyoaks' winners were sexiest female for Roxanne McKee (Louise Summers), villain of the year for Gemma Bissix (Clare Cunningham) and best comedy performance for Gemma Merna (Carmel McQueen).
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The show also won for best comedy last year.
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An award for best comedy gives Oscar's preening half the opportunity to recognize profound, well-crafted, seriously funny films that will go down as classics not just of the genre, but of the form.
The film won best comedy actor and actress for leads Bradley Cooper and Jennifer Lawrence, best comedy film, and best ensemble for a cast which includes Oscar nominees Robert De Niro and Jacki Weaver.
While the show ended with the "Modern Family" cast onstage for the best comedy award, the sitcom also monopolized the first half-hour of the show, winning all of the first four Emmys handed out.
They will compete with Friday Night Dinner and Sky series Spy for best new comedy, while Jack Whitehall and Hugh Bonneville are both up for best TV comedy actor for their roles in the shows.
Unsurprisingly, it has earned him a nomination at the Golden Globes for best actor in a musical or comedy - Scarlett Johansson and Tom Cruise have also been nominated for best dramatic actress in a comedy and best dramatic actor.
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BBC4 comedy Holy Flying Circus, written by Tony Roche, won best TV comedy.
But the studio also surprisingly earned three nominations for The Tourist: Best Motion Picture Comedy or Musical, Best Actor for Johnny Depp and Best Actress for Angelina Jolie.
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