Not many people associate Amy Winehouse with jazz, but, she was very heavily influenced by performers like Dinah Washington and Ella Fitzgerald. She was borderline worshipful of Washington, and, Tony Bennett, too.
Her first album, "Frank," is heavily infused with jazz, but it was her second album, the more R&B and pop based "Back in Black" that turned her into a superstar. Fame and drugs pretty much did her in at that point.
My favorite Amy Winehouse song is "Love is a Losing Game." It was part of the second album, but it's pure jazzy goodness.