Matt Damon is everywhere at the moment.

The Oscar-winning actor is currently in Australia to promote his latest movie, Jason Bourne (in cinemas July 28).

The action hero is arguably Damon's most famous character, but he could easily have been known for some other high profile roles if he hadn't turned them down.

Here are the famous roles that Damon was offered but said "Thanks but, no thanks" to:

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AVATAR

Damon could have starred in Avatar, if it weren't for his schedule. Photo / supplied
Damon could have starred in Avatar, if it weren't for his schedule. Photo / supplied

It's the highest grossing film of all time raking in more than $3.6 billion worldwide and making Sam Worthington (who played Jake Sully) an international star.

But the Aussie actor wouldn't have appeared in the 2009 film at all if Matt Damon hadn't passed on it first.

"Having to say no to Avatar was tough because I particularly wanted to work with James Cameron, and still do, because he's fantastic," Damon said to Playboy.

"He knew he was the star of that movie and that everyone was going to go see it anyway. When he said, 'Look, I'm offering it to you, but if you say no, the movie doesn't need you', I remember thinking, 'Oh God, not only do I have to say no because of scheduling, but he's going to make a star out of some guy who's going to start taking jobs from me later'."

THE DARK KNIGHT

Damon chose to turn down the role of Batman baddie Harvey Dent, too. Photo / Supplied
Damon chose to turn down the role of Batman baddie Harvey Dent, too. Photo / Supplied

Damon revealed in 2009 that he was asked to star as Harvey Dent in The Dark Knight but had to turn it down.

"I couldn't - there was a scheduling thing," Damon said to MTV.

But the Hollywood nice guy added that he doesn't think he could have done better than Aaron Eckhart who ended up playing Dent in the film.

"Look, Aaron is a great actor, so the movie didn't suffer for it. Every now and then you get one and you can't do it."

BROKEBACK MOUNTAIN

He'd just done 'a gay movie' and 'a cowboy movie', so Brokeback Mountain was a no-no. Photo / supplied
He'd just done 'a gay movie' and 'a cowboy movie', so Brokeback Mountain was a no-no. Photo / supplied

The 2005 movie starred Heath Ledger and Jake Gyllenhaal but they weren't the first choices to play the gay cowboys.

"Way back, Gus (Van Sant) and I talked about me doing Brokeback Mountain with Joaquin Phoenix, but I had just done The Talented Mr. Ripley and All the Pretty Horses, so I said, 'Gus, let's do it in a couple of years. I just did a gay movie and a cowboy movie. I can't do a gay cowboy movie now'.

"The right actor got the part," Damon said to Playboy, "Heath Ledger was magnificent".

Damon later spoke to Ledger about his performance in the film and asked the Aussie how he prepared for those ferocious kissing scenes with Gyllenhaal.

"He said, 'Well, mate, I drank a half case of beer in my trailer'. I started laughing, and he goes, 'No, I'm serious. I needed to just go for it. If you can't do that, you're not making the movie'."

DAREDEVIL

There were too many things around this film Damon wasn't sure about. Photo / Supplied
There were too many things around this film Damon wasn't sure about. Photo / Supplied

Growing up, Matt Damon and his best mate Ben Affleck had always dreamed of playing the Marvel action hero, Daredevil.

"That's the comic we read when we were kids," Damon said to NY Daily News.

He was approached to star in the 2003 film but he passed and handed the role to Affleck.

"When that one came along I chickened out, because I couldn't tell," Damon said.

"I hadn't seen the director (Mark Steven Johnson's) work and I didn't know. So I just said, 'No.' Ben was like, 'I gotta do it.'

"And the movie ended up doing very well, even though I don't think Ben was ultimately very proud of it."

MILK

Damon really wanted to be in Milk, but had to turn it down on account of scheduling. Photo / Supplied
Damon really wanted to be in Milk, but had to turn it down on account of scheduling. Photo / Supplied

Damon was offered the role of Dan White, the city supervisor who assassinated Harvey Milk, but had to turn it down with the part in the 2008 film eventually going to Josh Brolin instead.

"Milk was another hard one because I was excited ... and I would have had the chance to do scenes with Sean Penn," Damon said.

"They pushed the schedule and it ran into the slot for Green Zone. Steven Soderbergh's mantra is, 'The movie gets the right person; the right actor gets the part', but I was like, 'S***, no. That was my part'.

"But when I saw Milk, Josh Brolin was so f*****g good that I knew Soderbergh was right."

Jason Bourne will be released in New Zealand on July 28.