No biographical details are currently known.
Enrique's earliest-known roles date from 1962, after which he worked steadily in small supporting roles for the next 15 years.
While preparing his topic I found many titles where he was credited, but did not appear. This led to the discovery that there was a second actor named Enrique Navarro, who was also active throughout the 60's and 70's. Understandably this has caused much confusion with online filmographies, meaning that IMDb and other sites have lumped the roles of both actors together. Many of the roles listed in Enrique's IMDb filmography, including all roles dating from after 1977, belong to this other actor.
I found an undocumented role while preparing his topic, so I think it's very possible there could be more.
- El hombre del expreso de Oriente .... Card player (credited)
- La venganza de Don Mendo .... King's guard (credited)
- Los que no fuimos a la guerra .... Señor García (credited)
- Vuelve San Valentín .... Salesman (uncredited)
1963 - La verbena de la Paloma .... Man at the fiesta (credited)
- Operación Embajada .... First man on the phone (credited)
- Plaza de oriente .... Doorman (credited)
- Rififí en la ciudad .... Man wanting towel (credited)
- Tres hombres buenos .... Blacksmith (credited as "E. Navarro")
1964 - El extraño viaje .... Priest (credited)
- El Zorro cabalga otra vez .... Jeronimo Montson (credited)
1965 - Megatón Ye-Ye .... Isabel's father (credited)
- Per qualche dollaro in più .... Mr. Martinez (credited)
1966 - El precio de un hombre .... Manuel (credited)
- Leyenda de Navidad (TV mini-series) Eps. 3, 4 .... Ghost of Christmas present (credited in eps. 3, 4, 5)
- Requiem per un agente segreto .... Galvao (credited)
- Resurrección (TV mini-series) Eps. 1, 2, 3 .... Kuleshov (credited in ep. 5)
- Rose rosse per Angelica .... Lalume (credited)
- Tabú .... The Mayor (credited)
- Tres perros locos, locos .... The Boss (credited)
- Zarabanda Bing Bing .... The Mayor (credited)
1967 - El padre Manolo .... Taxi driver (credited)
- Historia de la frivolidad (TV movie) .... Herod (credited)
- La boda de Figaro (TV movie) .... Brison (credited)
- La familia Colón (TV series) Ep.: "Sanfermines" .... Manager of the pensione (credited)
- Las 12 caras de Juan (TV series) Ep. 1: "Juan sin fecha" .... Señor Costa (credited)
- Pero... ¿en qué país vivimos? .... Car wash employee (uncredited)
- Sor Citroen .... Priest on the train (credited)
1968 - ¡Cómo sois las mujeres! .... Don Federico (credited)
- Como las secas cañas del camino (TV movie) .... Don Higinio (credited)
- Cuidado con las señoras .... Choreographer (credited)
- El Baldiri de la costa .... Spinger (credited)
- Historias para no dormir (TV series) S. 2, ep. 8: "El trasplante" .... Nuevo rich (credited)
- Il mercenario .... Notary (uncredited)
- Operación Mata-Hari .... Nightclub manager (credited)
- Peer Gynt (TV movie) .... Ship's cook (credited)
1969 - El caso del señor vestido de violeta (TV movie) .... Man in doctor's waiting room (credited)
- El irreal Madrid (TV movie) .... Referee (uncredited)
- El proceso del arzobispo Carranza (TV movie) .... Priest (credited)
- Juicio de faldas .... Employee of Don Gonzalo (credited)
1970 - Il trapianto .... Man in courtroom (credited)
- La Lola, dicen que no vive sola .... Mari Lola's sugar daddy (credited)
- Los rebeldes de Arizona .... Juan (credit unknown)
- Plomo sobre Dallas .... Rancher (credited)
1971 - 20,000 dólares por un cadáver .... Store owner (credited)
- El vendedor de ilusiones .... Clerk (credited)
1972 - El avaro (TV movie) .... Commissioner (credited)
- La novicia rebelde .... Bull owner (credited)
- Secuestro a la española .... Priest (credited)
1973 - El niño es nuestro .... Doctor (credited)
- Historias de Juan Español (TV series) S. 2, ep. 12: "Juan Español y los machistas" .... Bar keeper (credited)
- Hora once (TV series) Ep.: "La ilustre fregona" .... Teacher (credited)
1974 - Los libros (TV series) Ep.: "Artículos de costumbre" .... Actor (credited)
- Los libros (TV series) Ep.: "El licenciado Vidriera" .... Monk (credited)
- Una chica y un señor .... Police desk officer (credited)
1975 - El poder del deseo .... New lodger (credited)
- Pim, pam, pum... ¡fuego! .... role unknown (credited)
1976 - El hombre que supo amar .... Merchant whose money is stolen (credit unknown)
- Los caciques (TV movie) .... The Candidate (credited)
- Los libros (TV series) Ep.: "Los milagros de Nuestra Señora" .... The Pope (credited)
- Nosotros, los decentes .... Pharmacist (credited)
1977 - Gusanos de seda .... Doctor (credited)
- La Gioconda está triste .... Inspector (credited)
- Viaje al centro de la Tierra .... Bookseller (credited)
- Due contro tutti (1962) from Abel Haro Pulido
- Fernández, punto y coma (1963-64 TV series) IMDb. 2 episodes
- 30 grados a la sombra (1964 TV series) Ep.: "Los Padres Se Divierten Solos". IMDb
- El canto del cisne (1964 TV movie) Estudio 3 series. IMDb
- El fin de Águila Negra (1964 TV movie) Estudio 3 series. IMDb
- El inspector (1964 TV movie) Novela series. IMDb
- Historias de mi barrio (1964 TV series) Ep.: "La Miss". IMDb
- Mañana puede ser verdad (1964 TV series) Eps.: "Los bulbos" parts 1-3. IMDb
- Suspenso para septiembre (1964 TV movie) Teatro de familia series. IMDb
- Tras la puerta cerrada (1964 TV series) IMDb. 2 episodes
- Tus amigos no te olvidan (1964 TV movie) Novela series. IMDb as Tavern keeper
- Cotolay (1965) IMDb
- El Séneca (1965 TV series) Ep.: "El Séneca y la fantasía". IMDb
- La pequeña Dorrit (1965 TV movie) Novela series. IMDb as First prison guard
- Las almas muertas (1965 TV movie) Novela series. IMDb as Manilok
- Primera fila (1965 TV series) IMDb. 2 episodes, as Otañez / Captain
- O.P. (1966 short film) IMDb
- El dueño del átomo (1967 TV movie) Novela series. IMDb
- Un hombre y un colt (1967) from Abel Haro Pulido
- Aulularia (1968 TV movie) Teatro de siempre series. IMDb
- El tesoro del capitán Tornado (1968) IMDb
- Pablo y Virginia (1968 TV series) Ep.: "Digaselo con flores". IMDb
- El cordero (1969 short film) IMDb
- El monje misterioso (1969 TV movie) Novela series. IMDb
- El rayo de luna (1969 TV mini-series) Novela series, ep. 5. IMDb as Cosme
- Escritores en televisión (1969 TV series) Ep.: "La pedida". IMDb
- La risa española (1969 TV series) Ep.: "Es mi hombre". IMDb
- Los verdes campos del Edén (1969 TV movie) Teatro de siempre series. IMDb
- Amalia (1970 TV mini-series) Novela series, ep. 2. IMDb as Doctor Alcorta
- Hora once (1970 TV series) Ep.: "Chelcash". IMDb
- Sospecha (1971 TV series) Ep.: "El hombre de color". IMDb
- Sospecha (1971 TV series) Ep.: "Llamada urgente". IMDb
- Si yo fuera rico (1973 TV series) Ep.: "Si yo fuera campeón". IMDb as Agustin
- Sigfrido (1973 TV movie) Estudio 1 series. IMDb
- La cometa naranja (1974 TV series) Ep.: "Viaje a la luna". IMDb
- La casa grande (1975) IMDb
- Pasión (1977) IMDb
- Don Gil de las Calzas Verdes (1978 TV mini-series) Estudio 1 series, ep. 2. IMDb
The titles below almost certainly belong to the other Enrique - La comedia (1983 TV series) Ep.: "Un sombrero de paja de Italia". IMDb
- La fuente de la edad (1991) IMDb as Melendres
- Narradores (1991 TV series) Ep. 1: "Mi entierro". IMDb
- Jardines colgantes (1993) IMDb
IMDb also lists 4 production credits dating between 2000-2007, however given the dates and the fact that there are at least 4 more Enrique Navarro's listed on IMDb who worked in production, then it seems extremely unlikely that these credits belong to either of our actors.
- Es mi hombre (1927) IMDb with no role. I think it is highly unlikely that either of our actors were even born in 1927, let alone appearing in films
- David Copperfield (1970 TV series) IMDb, Episode 18. There is no credit for Enrique and neither actor appears. It is, of course, very possible that IMDb has the wrong episode listed.
- Historias de Juan Español (1972 TV series) Ep.: "Juan Español, tímido". IMDb. There is a credit for "Enrique Navarro Navarro". Since neither of our Enrique's appear, I suppose that it must refer to yet another Enrique.
- Niñas... al salón (1977) IMDb with no role. Neither Navarro appears. There is a credit for "Eugenio Navarro", who is a different actor (there are also 2 Eugenio's, but that's another story), so I assume the credit has been mixed up with his.
- La ecuación del vértigo (1991 short film) IMDb with no role. There is a credit for "Enrique Navarro" playing the role of Gondolier, however the actor in the role is far younger than either of our Enrique's, neither of whom appear, so this must presumably be yet another actor of the same name.