But what have Ozzy and Sharon Osbourne's children done since the show ended? And do they have any other brothers and sisters? Here's the lowdown.
Why is Ozzy in hospital?
On 7th February 2019, Ozzy's wife Sharon confirmed that the rocker had been admitted to hospital after suffering from flu.
The heavy metal singer, 70, experienced "complications" from the illness, she said, and doctors advised him to go to hospital.
Sharon, 66, tweeted: "As some of you may have heard, Ozzy was admitted to hospital following some complications from the flu.
"His doctors feel this is the best way to get him on a quicker road to recovery. Thanks to everyone for their concern and love."
Former Black Sabbath vocalist Osbourne, a Rock And Roll Hall Of Fame inductee, was forced to postpone the UK and European legs of his No More Tours 2 tour after taking advice from doctors.
He had been suffering from flu and was diagnosed with a severe upper-respiratory infection, according to a January 29 statement on his website.
Doctors feared the infection could develop into pneumonia had he toured, the statement added.
How old are Kelly and Jack Osbourne and what's their net worth?
Kelly and Jack Osbourne were both born in London, before moving to California, where they grew up.
Born on October 27 1984, 32-year-old Kelly is the older sibling, while Jack, 31, was born on November 8 1985.
They sprang to global fame as teenagers on the idiosyncratic, controversial reality show The Osbournes, which began in 2002.
The first season of the fly-on-the-wall look at the foul-mouthed family achieved the highest ratings in MTV history.
After the show ended in 2005, Kelly crafted a career as a singer-songwriter, TV star and author, and has built an estimated net worth of $15 million.
She had a hit single in 2002 with a cover of "Papa Don't Preach", and had a UK No.1 the following year when she released "Changes" with her father Ozzy.
In 2009, Kelly came third in Dancing with the Stars, while she is also a judge on both Australia's Got Talent and Project Runway Junior.
Jack, who was diagnosed with multiple sclerosis in 2012, has pursued a career as a fitness and travel reporter – his fortune has been estimated at $10 million.
He had presented shows such as Jack Osbourne: Adrenaline Junkie and Saving Planet Earth on the BBC.
Like his big sister, the 31-year-old has worked with his dad, making reality show Ozzy and Jack's World Detour for the History Channel.
Jack is married to Lisa Stelly, and the pair have two young daughters, Pearl and Andy.
They added a third daughter to their growing brood, Minnie, in February 2018.
Do Ozzy and Sharon Osbourne have other children?
You may not have known that Ozzy and Sharon Osbourne have a third child together, older than both Kelly and Jack.
Aimee Osbourne, 34, refused to take part in The Osbournes, and so has a much lower profile than her younger siblings.
An actor and musician, who performed voiceover work on Postman Pat: The Movie, she has publicly criticised her parents for some of their conduct on the TV show.
Ozzy also had two children in his earlier marriage to Thelma Riley, Jessica and Louis, and the Black Sabbath star adopted his first wife's son Elliot.
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