Y-fashion spread overseas through migration to Florida and elsewhere, and some of the most famous examples are found on Major League Baseball rosters in the names of defected stars Yasiel Puig and Yoenis Cespedes.
While there's no public data available, experts and parents alike have noted a clear trend away from Y-based and other eccentric names in recent years.
An AP review of one high school class list in Havana turned up a dozen unusual names including Yuneysi, Luzaniobis, Alianis and Dianabell, among 40 students. Meanwhile a first-grade class of 20 students had just two, Raicol and Nediam — apparently the English word "maiden" spelt backward.
"The phenomenon in Cuba got out of control, it got out of hand. Names are also the image of the country," said Aurora Camacho, a researcher at the governmental Institute of Literature and Linguistics of Cuba who called for legal guidelines on the naming of children.
She's not alone. Eccentric names have been popular elsewhere in Latin America and at times provoked a backlash.
In 2007, Venezuelan authorities unsuccessfully pushed a bill that would have outlawed "names that expose (children) to ridicule, be they extravagant or of difficult pronunciation" after two Supermans were discovered in the registry. A similar proposal failed in the Dominican Republic in 2009.
This month, the Mexican state of Sonora banned 61 oddball names that had been found at least once in state registries. They included Facebook, Rambo, Circumcision, Lady Di and Juan Calzon, or "Juan Underpants."
Recent months have seen articles in Cuban official media warning of the need to regulate naming practices and urging parents to be thoughtful when it comes time to register their newborns.
But the simple ebb and flow of naming fashions seems to be turning the tide even without the heavy hand of the government.
Yanitse Garcia, whose husband is Raisel — a cross between Raimundo and Elena — said all of her daughter Olivia's cousins also have traditional names: Ernesto, Gabriela, Carlos and Christian.
"I think there was a saturation," Paz Perez said.
Andrea Rodriguez on Twitter: www.twitter.com/ARodriguezAP