LONDON — Though paper money here typically bears the visage of Queen Elizabeth, the Brixton district of the city last month released a new 5-pound note designed by Jeremy Deller, an artist who won the prestigious Turner Prize in 2004. It features a fuzzy, psychedelic image of an androgynous face surrounded by rainbow clouds and coruscating, swirling etchings.

“I wanted something old-fashioned looking,” Mr. Deller said. “Something almost pre-currency.”

One hundred and twenty miles west of Brixton, in the city of Bristol, a pound note issued after a design competition that was open to locals displays a colorful lemur striding atop a vibrant cityscape. The back has magenta-hued, hand-cut stencil illustrations of accomplished denizens, including the author J. K. Rowling and Dr. Elizabeth Blackwell, the first woman to receive a medical degree in the United States.

As Bitcoin, PayPal and other electronic forms of payment grow in popularity in the global economy, cash in a growing number of places — not only Bristol and Brixton, but also Amsterdam; Ithaca, N.Y.; and elsewhere — is becoming quite literally an artisanal object.

These are small-batch currencies designed by locals and lovingly handled by millennials, who came of age during the rise of the Internet, the meltdown of the stock market and Edward Snowden’s National Security Agency revelations, and would be forgiven for becoming more wary of credit and debit cards. Many are already opting for standard paper money over plastic (when not resorting to freeganism or bartering, that is).