She was a contributor to the Victoria and Albert Museum 2013 travelling street art collection alongside Banksy, Blek le Rat, Jamie Hewlett, Pure Evil, D*Face and urban illustrator Oh Jiwon.

[7] Her first solo show at Hoxton Gallery was Imitation,[8] which recreated famous artworks out of felt, including a shark in a tank by Damien Hirst.

[16] In 2015, Lucy Sparrow made an installation of a sex shop in London's Soho, saying that her inspiration for the work was her five years working as a stripper in a nightclub in London, and that she wished to make people question the increasing suppression of some sexual practices in British law such as use of sex toys and contraception, and the gentrification of Soho.

[18][19] The exhibition was called Madame Roxy's Erotic Emporium and included pornographic magazines, whips, toys and jars full of STIs.

[20] In June 2017, Sparrow installed a felt replica of a bodega in The Standard, High Line hotel in New York City.

[26] Sparrow created full-size versions of masterpieces from Michelangelo's David and da Vinci's Mona Lisa to Damien Hirst's shark in formaldehyde and Andy Warhol's Campbell's soup cans.

The show was hosted at the Rockefeller Center on Sixth Avenue where she offered some thirty thousand felt replications of perishable food items for sale.