There used to be a section for this, but now it's gone.

Content doesn't always stay for long on amazon prime video and I'm finding this site quite useful.

http://expiringtitlesonamazonprime.blogspot.com/

Also, amazon doesn't make it easy to find all the new content. I've looked at a number of sites for this information (including amazon's own lists) and there's often other content available that's not listed at the sites I've found. However, this site

https://www.denofgeek.com/us/movies/amazon/248531/amazon-prime-video-new-releases

might provide closer to complete information. I haven't used it that long, but it seems promising.

The other sites I've used:

This one is probably closer to complete than the site above, but it's too much. It includes a lot of content that most people would have zero interest in. Really obscure stuff. I check more boxes when I use this site. For one thing, I check the IMDB box because I'm not likely to be interested in anything that doesn't have an IMDB listing.

https://instantwatcher.com/a/search?page_title=New+Prime&sort=prime_from+desc&view=synopsis&infinite=on&prime%5B%5D=2&content_type%5B%5D=1&content_type%5B%5D=2

This site only includes content that has at least a fairly high rating:

https://www.metacritic.com/feature/now-streaming-on-amazon-instant-video

This site has most of the non-obscure content. Its lists probably come closest to amazon's own lists:

https://www.digitaltrends.com/home-theater/new-on-amazon-prime/

How long does amazon prime license other shows for and how to find out time remaining before it's removed?

Does prime not have a section that has movies/shows that will be taken off soon like netflix?