Rarities 1971–2003 is a compilation album by The Rolling Stones that was released in 2005 worldwide by Virgin Records – as well as by the coffee-chain Starbucks in North America – and features a selection of rare and obscure material recorded between 1971 and 2003.

Several B-sides were included, such as "Fancy Man Blues", "Anyway You Look at It", "Wish I'd Never Met You", "Through the Lonely Nights", and the band's live rendition of Chuck Berry's "Let It Rock" from 1971.

Then you get carried away with promoting it and you forget about it.Although the cover image is from 1978 (from the music video for "Respectable") it only shows the current four members of the band and does not feature bassist Bill Wyman, who was removed from the picture; the original colour image can be seen in the booklet from Forty Licks, showing him standing in the back behind Jagger and Richards.

Not only are there plenty of heavily bootlegged outtakes such as "Blood Red Wine", "Claudine", and "Brown Sugar" with Eric Clapton on guitar missing, but there are plenty of B-sides from these three decades missing."

(Notably, "Claudine" and the rare version of "Brown Sugar" were later released on the Deluxe Special Editions of Some Girls and Sticky Fingers.)