As mentioned earlier, Aragón began her acting career in various student theater projects at the Festival Cervantino in Guanajuato and at the Teatro de la Alianza Francesa. After getting in touch with Alejandro Jodorowsky, Aragón participates in a small role in the play Zaratustra (1970), where Héctor Bonilla, Carlos Ancira and Isela Vega performed. Also participated with a small roll in the work The Lady of the Camellias (1970), directed by Jose Solé Nájera and carried out by Dolores del Río.

Returning to Mexico in 1980, Aragón joins the Mexican telenovelas of Televisa with the Producer Valentín Pimstein, whom she met through the Greek Director Dimitrio Sarrás. She started with a small role in the telenovela Sandra y Paulina (1980), starring Jacqueline Andere. In 1981 she acts in the telenovela El hogar que yo robé, with Angelica Maria. In 1982 she performs the feminine antagonistic role of the telenovela Vanessa, next to Lucía Méndez. In 1983 she shares stellar with Lucero in the popular children's telenovela Chispita. In 1984 she made two more telenovelas: La fiera, next to Victoria Ruffo and Principessa, telenovela that leaves shortly after having initiated to being offered her first leading role.

Between the plays in which Aragón has participated emphasize El día que pisamos la luna (1981), of Nancy Cárdenas; Fool for Love (1986), by Sam Shepard, with Ari Telch; Los derechos de la mujer (1988), with Rafael Banquells; Contrabando (1991), of Víctor Hugo Rascón, with Héctor Bonilla; Águila Real (1992), by Hugo Arguelles, about the life of Isabel Moctezuma and premiered in the United States; Las dos camelias (1993), directed by Susana Alexander; Poker de reinas (1993) by Víctor Hugo Rascón Banda, alongside Ofelia Medina and the Singers Betsy Pecanins and Margie Bermejo; Cartas de amor, directed again by Alexander, first with Héctor Bonilla (1994), and years later with César Évora (2006) and El juego de la pasión (1995), directed by Mario Espinoza, next to Fernando Balzaretti.

In 1984, Aragón made her debut in the films, which was hosted by Producer Pancho Kohner (son of Mexican Actress Lupita Tovar) with J. Lee Thompson's The Evil That Men Do with Charles Bronson. This is followed by three other Hollywood productions: Toy Soldiers (1984), by David Fisher, alongside Jason Miller and Tim Robbins; Samson and Delilah (1984), made for television, alongside Max von Sydow and Victor Mature, and Dune (1984), by David Lynch, alongside Silvana Mangano, Jose Ferrer and singer Sting, among others. Due to her participation in a telenovela in Mexico, Aragón had to reject the offer of the actor and Director Robert Redford to co-star with him the film The Milagro Beanfield War, being replaced by the Brazilian Actress Sonia Braga.

In 1985, Valentín Pimstein gives Aragón the starring role of the telenovela Vivir un poco, the first Mexican version of the Chilean telenovela La madrastra, by Writer Arturo Moya Grau. In that telenovela, Aragón gave life to the personage of Andrea, a woman unjustly accused of murder and imprisoned for twenty years in a prison in Argentina. The telenovela obtained a great level of hearing and it gave Aragón one of the most outstanding successes of her career.

In the Mexican Cinema Angélica debuted in 1986 in the film Los dos frailes, next to the brothers Fernando and Mario Almada. Eventually she participated in other Mexican productions like Lamberto Quintero (1987), next to the folk singer Antonio Aguilar; Sabor a mí (1988), next to the singer Jose Jose, inspired in the life of the Mexican Composer Alvaro Carrillo; La furia de un dios (1988), by Felipe Cazals, alongside Humberto Zurita and Assumpta Serna, and Goitia: un dios para si mismo (1989), by Diego López Rivera and inspired by the life of the Painter Francisco Goitia, among others.

When Aragón was 19 years old, she married Shajid, an Indian musician from Calcutta and whom she met at a music festival in Mexico shortly before. Shajid is currently in charge of the Department of Music of the National Theater of the United Kingdom. She lived in India for a year. The marriage concluded soon after. In 1989, while Aragón was filming Goitia: un dios para si mismo in Zacatecas, she had an affair with an old friend of his youth, the Historian Rodrigo Martinez. As a result of this relationship, her only daughter, María, was born.

At the beginning of the following decade, Aragón participates in films like Pueblo de madera (1990), of Juan Antonio de la Riva, with Mario Almada and Gabriela Roel; Gertrudis (1992), based on the life of the Mexican political Activist Gertrudis Bocanegra, together with Ofelia Medina; the American production The Harvest, along with Miguel Ferrer and George Clooney; La señorita (1994), by Mario Hernández, with Jacqueline Andere and María Rojo and Novia que te vea (1994), by Guita Schyfter, for which she obtains her first Silver Ariel Award for best female co-performance, among others.

In 1992 Aragónis invited to act as Director of dialogues in the telenovela Madres egoístas, produced by Juan Osorio. In that same year, she plays "Chole", an indigenous Zapotec woman in the telenovela De frente al sol, produced by Carla Estrada, sharing the star with the Actress María Sorté. The telenovela was so successful, that in 1993 a sequel titled Más allá del puente was realized.

In 1995, Angelica participates in the successful film production A Walk in the Clouds, by Alfonso Aráu, with Keanu Reeves, Anthony Quinn and others. In that same year she obtains her second Silver Ariel Award as co-stellar Actress for its participation in the film Cilantro y perejil, next to Demián Bichir and Arcelia Ramírez and directed by Rafael Montero. In 1999, she participates in the films Crónica de un desayuno of Benjamin Cann and in the successful Sexo, pudor y lágrimas, of Antonio Serrano.

In 1996, Aragón starred in the Hellenic Theater of Mexico City the monologue Maquillaje (Kesho), by the Japanese author Hisashi Inoue, which commemorated 100 years of Japanese emigration to Mexico. For this installation, the Actress received permission from one of the main Japanese actors of the Kabuki theater, Nakamura Kankurō V. In the play Aragón interpreted an Actress who represents in the stage all the masculine characters, in reverse way to the conventional Kabuki theater. The editing was directed by Wendell Cordz and was one of the most outstanding theatrical successes of the Actress.

Although in the United Kingdom she had an artistic training that included music, Aragón decided to enter the record market in 1997 with a disc titled Silencio corazón, born with the intention of preserving the compositions of her father, José Ángel Espinoza "Ferrusquilla". The album was recorded independently. In 2009 she released the album Échame a mi culpa: vida y canciones de "Ferrusquilla", in which she toured musically the biography of her father supported by a theatrical project with the actor Roberto D ' Amico. In 2010, and on the occasion of the Bicentennial of Independence of Mexico, Aragón publishes a third record production produced by her father and titled México: mi palabra más bella. In 2013, the Actress presents her third album titled Su Majestad, El Bolero, a tribute to the bolero genre. The disc was presented in the Lunario del National Auditorium.

As Director, she also directed the montages Tengamos el sexo en paz, starring Margarita Gralia (2000); Sueña (2007), with Irma Lozano and Aarón Hernán; Por razones oscuras (2008), starring Esteban Soberanes and Roberto D'Amico and La última palabra (2016), starring Roberto D'Amico and Pablo Perroni. In 2013 she also starred in the musical show Su Majestad, El Bolero with actor Roberto D'Amico.

Other of his more successful plays were El verdadero oeste (2008), directed by José Caballero, next to Plutarco Haza and Fabián Corres; Pequeños crímenes conyugales (2008), directed by Luis de Tavira, with Ricardo Blume; El juicio de Hidalgo (2010), directed and starring by Jorge Ortiz de Pinedo and Relaciones peligrosas (2013), with Jacqueline and Chantal Andere and directed by herself, just to name a few.

In the decade of the 2010's, Aragón participates in films like Cinco de mayo: La batalla (2013), again next to the actor Kuno Becker; the Spanish-Mexican co-production Todos están muertos (2014), by the filmmaker Beatriz Sanchiz, sharing a scene with Elena Anaya and Patricia Reyes Spíndola, among others and Treintona, soltera y fantástica (2016), starring Barbara Mori. In 2016 Aragón also lent her voice to a character in the Latin American dubbing of the animated film of Disney Moana. In this same year the Actress participates in the film Mr. Pig, directed by Diego Luna and starring by the American actor Danny Glover. For this performance the Actress received a new nomination to the Silver Ariel Award in the category of Best Supporting Actress.

In 2014 Aragón was invited by the Director Patrick Swanson to participate in the theatrical assembly The Christmas Revels in the Sanders Theater of the Harvard University.