SAN FRANCISCO—Devotees of the late 1980s-early ’90s sitcom “Full House” know its theme song is “Everywhere You Look.” Since a sequel series launched this year, that could also describe the prevalence of fans descending on Andrew Clemens’s block.

“It’s an endless stream of people,” said the 30-year-old technology executive. “They drive through the neighborhood blasting the theme song.”

The...