For French speakers, France culture has 2 series of podcasts on Weil:

* https://www.radiofrance.fr/franceculture/podcasts/serie-avoi...

* https://www.radiofrance.fr/franceculture/podcasts/serie-simo...

For English speakers, Enlightened By Love: The Life and Thought of Simone Weil (5 hours): https://www.davidcayley.com/podcasts/2014/11/30/1msu5jd829w2...

I can also recommend the already mentioned "Philosophize This!" podcast

As for her writings, I enjoyed these short pieces:

* The Power of Words

* The Iliad, or the Poem of Force

* Écrits historiques et politiques (fr) https://cras31.info/IMG/pdf/simone_weil_-_ecrits_1_--_histor...