Storybooks CanadaChildren's stories in Persian, with pictures and English translations.
Storybooks Canada takes stories from the African Storybook, and publishes translations into Persian (as well as many other languages).
They have everything from simple stories for beginners, to fairly advanced language. But what's really great is that all of the stories come with an audio track, by a native speaker, that can be played section by section.
And if you struggle, there are easily accessible English and French translations to help you along.
Englisi FarsiBilingual picture books.
Lovingly designed, bilingual English/Farsi picture books for children. Both physical and ebooks are available.
Produced by a charity tasked with promiting Persian language learning, this website offers both apps designed for children, but also a very large set of carefully produced, short animation videos that come with an English translation, a glossary and dialogue sheets. They are ordered by increasing difficulty, and as such they are quite suitable as source material for self-study.