One of the Carnival's pioneering groups. It won the First Prize for Performance in the 1976 contest, as well as in 1980 and 1982. In 1983 it had already achieved the title of Afilarmónica.

The Afilarmónica, which accompanied the grand opening of the Las Palmas de Gran Canaria Carnival in 2007 alongside La Terremoto de Alcorcón, has received special mentions and prizes awarded by its fellow performers, amongst which are El Payaso de la Amistad, given by the Afilarmónica Los Ni Fú, Ni Fá from Tenerife, the Silver Caín awarded by the Afilarmónica Los Hijos de Caín, and the Chancleta de Honor (the Sandal of Honour) prize with which it was honoured by the members of the Afilarmónica Los Chancletas.  Los Nietos de Kika received a gold record in 1985, and they were nominated for the Popular Culture Prize: their biography includes such curious facts as having performed alongside Tina Turner in Madrid in 1987.

Los Nietos de Kika turned 40 in 2016.