This podcast is mostly free and offers podcasts entirely in Chinese, as opposed to many other podcasts which sometimes are more in English than Chinese. I particularly like that they have split the actual story and the discussion of the story into two parts. As is the case for many other podcasts, the actual story (or dialogue in other podcasts) is much harder than the discussion. The hosts are good at explaining Chinese in Chinese, making this a very useful resource for intermediate students and up. Each episode is quite long, further adding to the value.

While I recommend this resource in general, I think their proficiency ratings are off by a significant factor (everything is marked as being much easier than it actually is). Many of the stories are actually quite advanced and introduce vocabulary that are well beyond the intermediate level, even though some stories aren't that difficult. Your mileage may vary. Try different stories to find what works for you. Support them on Patreon if you like it!

"Using more than 99% target language, 听故事学中文Learning Chinese through Stories(LCTS) creates authentic and immersive podcasts to help people around the world develop Chinese language skills and cultural competency. It covers a wide range of topics and proficiency levels. Every story has two parts: story (A) and story explanation (B), accompanied by annotated vocabulary and transcript."