Rodríguez helped design the Palacio de Liria (1770) ; Palacio de Altamira (1773–1775) (now the European Institute of Design); the Palacio de Boadilla del Monte; the Palacio de Almanzora; and the Palace at Arenas de San Pedro (he also built the Royal Chapel for the Convent/Sancturary of San Pedro de Alcántara).
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He was personally invited by Anner Bijlsma to perform in a Dutch documentary film on Luigi Boccherini and Anner Bijlsma, filmed in Arenas de San Pedro, Spain, where the composer lived the last years of his life.