Gwyneth Paltrow and actor-director Edward Burns are seen leaving a restaurant on a very early rainy morning after a Coldplay concert at Madison Square Garden.

The 35-year-old Iron Man star celebrated with her husband Chris Martin and the rest of the band in the West Village of New York City after playing their free concert.

Last week, Gwyn showed off her vocal talents at a charity karaoke show in London, after a $90,000 bid got her to take to the stage and belt out some tunes.

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Coldplay frontman Chris Martin, aka Mr. Gwyneth Paltrow, watches his two children, Apple, 3, and Moses, 2, as they ride on a mini-carousel at a London Zoo on Saturday.

Chris, 31, was accompanied by his brother, Al (striped shirt), and the kids’ nanny.

Coldplay has secured their first UK number one single with “Viva La Vida”, the title track from their new album. The single’s success is based solely on downloads from the internet because no hard copies have been sold yet.

“The Coldplay success story just keeps getting bigger,” said spokesman Gennaro Castaldo. “‘Viva La Vida’ is one of [UK] HMV’s biggest-ever selling downloads.” More Here! »

Gwyneth Paltrow and designer pal Stella McCartney spice up the The HOPE Foundation Benefit Evening on Thursday held at Ronnie Scott’s jazz bar, Soho, London. (Gwyn is wearing Stella McCartney, of course.)

The event hoped to reach in excess of $1,000,000 for the charity in an auction where the guests bid for the celebrity of their choice to serenade them from the stage. Gwyn, 35, began shyly, according to eyewitnesses, “but soon got into the swing of it”.

HOPING stands for Hope and Optimism for Palestinians In the Next Generation. HOPING maintains a small scale administrative set-up in order to ensure that a large majority of funds we raise are given directly to community projects in refugee camps working with children.

Last year’s Karaoke with the Stars raised an amazing $850,000 for the foundation.

10+ more pics inside of Gwyneth singing for HOPE…

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Gwyneth Paltrow closes the the gate to her driveway (Toyota Prius parked in the driveway) at her home in London on Monday.

In related news, Gwyneth’s husband, Chris Martin, and his band Coldplay debuted at #1 on the U.K. album chart yesterday with “Viva La Vida or Death and All His Friends”

Even though the album was only released on Thursday (halfway through the sales week), “Viva La Vida” sold 302,000 units through Saturday night. It’s the band’s fastest-selling release and one of the fastest-selling records in history!

And this is in spite of Chris’s well-publicized walkout during a Radio 4 interview in which he was being questioned about his lyrics. That surely must say something about this album! More Here! »

Coldplay’s Chris Martin is happily married to Gwyneth Paltrow– they even have two kids together. But somehow, Chris still feels like an underdog.

“You’ve got to be hungry,” he tells Rolling Stone. “If your wife went out with Brad Pitt, you’d want to prove yourself, you know what I mean?”

Brad, then 31, and Gwyn, then 22, started dating in 1995 after they met on the set of the thriller Seven and got engaged in November 1996. Their two-and-a-half-year relationship ended in June 1997.

Also in the Rolling Stone article, Chris mentions that he sees reason for hope: “As soon as Barack Obama becomes president, people will be a bit more optimistic. If Obama was to be president, it would immediately change the whole outside world’s opinion of America overnight. America’s public image at the moment is really bad. And it’s a bummer, because over half of Americans are the coolest people on the planet. But they’ve been so misrepresented… But I think that, really, the fair thing would be, in electing the American president, to let everyone in the world vote, because it affects all of us. If there was a world vote, there’s no question who would win. No question. Of course, Barack Obama is human like the rest of us. He’s going to f— up. But I’m just trying to look on the bright side. What’s the point of being negative? Where does that get us? It gets you your own radio chat show, but it doesn’t really do anything for the world.”

New interviews bits of Gwyneth Paltrow have been released from the July 2008 issue of Harper’s Bazaar (Pictured here: Proenza Schouler sequined t-shirt, Versace shoes).

On how her pregnancy differed from her mother’s (Blythe Danner): “I may force myself to do it one more time because the result is so worth it. And also my dad said to me that his only regret in life was that he had only two children and he didn’t have more… My mother loved each [pregnancy] to bits; she felt alive and beautiful. I wanted to throw up all the time.”

On being very open to adoption: “I do feel we’re so fortunate, and we kind of owe it to humanity. We have a lot of love to give and a lot of resources.”

On her support for Barack Obama: “I don’t feel there’s any lip service with [Obama]. I don’t feel like he’s one of those jaded politicos who say one thing and are talking out of both sides of their mouth. I also feel we’ve done such damage to our reputation – and as someone who lives outside America for half the year, I overhear things that I wish I didn’t overhear. A lot of people in the West think that we’re not very sensitive to the rest of the world, and I think that having a president called Barack Hussein Obama in 2008 says that we are part of the world, and we don’t want to make unilateral decisions about the fate of all of us. I just pray to God that he wins.”

To read the full Gwyn article, visit HarpersBazaar.com.

Gwyneth Paltrow makes a quick visit to the Kabbalah Centre in London on Tuesday.

The 35-year-old Iron Man actress is looking super pretty in pink on the July 2008 cover of Harper’s Bazaar.

Gwyn recently spoke out about Hollywood having a very short memory: “Jodie Foster was right, especially if you are a woman and especially if you are not 25. Hollywood is pretty cutthroat, and everybody has a short memory. There is always someone who is younger or hotter or prettier… Going from being a mother at home for a long time, which was the greatest time in my life, but also feel like an artist again … that was a gift for me.”

Gwyneth Paltrow looks positively flawless in Versace on the July 2008 cover of Harper’s Bazaar, out June 17.

In the mag, the mother-of-two talks about staying in shape: “All the negative things have actually ended up being really positive because they’ve kick-started me into thinking how I want to look for the rest of my life.”

Continued Gwyn, “And you know, I don’t want to look like a mother who doesn’t care. For myself, for my work and for my relationship, I want to look good.”

And she surely looks good here!