Namesakes
Eurovision Song Contest Winners:
1 winner
Conchita Wurst 2014 Austria 
Notable Actors and Entertainers:
1 actor
Chita Rivera (middle name Conchita) 1933-2024
Notable Athletes:
1 tennis
(tennis) Conchita Martínez 1972-
Notable Musicians:
1 singer
Conchita Wurst 1988-