It's not bad going for the vicar's daughter, born in Notting Hill and raised in Isleworth, whose biggest role prior to Lady P, was playing Johnny Depp's dead wife in the thriller From Hell.
Consequently, she's optimistic but cautious about the huge hype surrounding Thunderbirds and the prospect that the film is set to make her a household name.
"I've never been in a film this big or done anything like it," she says,, "I have no idea how it's going to pan out or what it's going to do for me. But in terms of my career I want to work with really great directors and great casts, because that's when you really learn."
Sophia was spotted by a British casting director at the age of 16 in a school play and offered a small part in the TV version of The Prince And The Pauper.
She went onto carve out a niche for herself in costume dramas, such as Mansfield Park and Nicholas Nickleby, but though she looks the epitome of quintessential Englishness with her delicate demeanour, Sophia has more than proved her mettle with Lady P.
She may have been a wooden puppet in the original 1960s series, but Sophia's version is a high-kicking, all-round action woman. In fact, the star had to undergo intense training for her fight scenes with The Hood.
"It was the most exercise I've done in my whole life. There's a lot of kickboxing and a lot of gymnastics," she says.. "It was lovely to do something so extremely physical.
"Lady P has definitely been given an injection of girl power but she's such a positive role model for young children. She's bright, intelligent, funny, strong and sexy without being provocative and I think it's nice to have a role model for children who isn't dancing around with their mid-riff showing and everything hanging out."
Even so, Gerry Anderson, who created the original
Thunderbirds series never had his Lady P, frolicking around in a bubble-bath while ordering instructions to Parker.