The word agradarían is the conditional form of agradar in the third person plural.
See the full agradar conjugation

agradar

Bueno, ¿te agradarían con un rostro como éste?
Well, would you fancy her with a face like that?
Si cambias, de opinión, creo que te agradarían.
If you change your mind, I-I think you'd like them.
Creo que te agradarían si los llegaras a conocer.
I think you'd really like them if you got to know them.
Creo que me agradarían sus padres.
I think I would like your parents.
No, y pienso que, si les dieras otra oportunidad, realmente te agradarían.
No, and I feel like, if you gave them another chance, you'd really like them.
Creo que se agradarían.
I think you'd really like each other.
¿Por qué no me agradarían?
Why wouldn't I like them?
Sí, pero creo que son cosas que a nadie le agradarían.
Yeah, but it's... I mean it's stuff that I don't think anyone would appreciate.
Sabía que te agradarían.
Yeah, yeah. I knew you'd like them.
Sé muy bien que no me pediste elefantes, pero conociendo tu soberbio buen gusto supuse que te agradarían.
Yes, I know you didn't ask for elephants, but knowing your good taste, I thought you'd agree.
¿Qué cosas debemos evitar (cosas que pueden dañar nuestros cuerpos y cosas que no agradarían al Señor)?
What are some of the things that we should avoid (things that might harm our body and things that would not please the Lord)?
Pensé que se agradarían ustedes dos.
I thought you two would like each other.
La alabanza y la adulación agradarían a sus oídos; pero la verdad no es bienvenida; no la pueden oír.
Praise and flattery would be pleasing to their ears; but the truth is unwelcome; they cannot hear it.
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