Weekly roll up

Here are some podcasts that provide weekly rundowns of news or developments:

1. The Next Great Thing - This podcast might include types of expert analysis or industry updates (Details about the type of updates were not specified).

2. All-In Podcast - Hosted by Chamath Palihapitiya, David Sacks, David Friedberg, and Jason Calacanis, this show discusses weekly trends and news in technology, finance, and politics, often featuring high-profile guests. Topics range from venture capital and Silicon Valley news to global political and economic issues.

3. This Week in Startups - Hosted by Jason Calacanis, this podcast focuses on the world of entrepreneurship, venture capital, and technology, delivering weekly insights into the startup ecosystem and advancements in various sectors such as AI and fintech.

4. Pivot - Hosted by Kara Swisher and Scott Galloway, this podcast delivers sharp, unfiltered insights into the tech and business world, dealing with current events with a witty touch.

These podcasts could serve as valuable resources if you are looking to stay updated with weekly insights into various industries and global trends.