You get that when you do what exactly? Click the Update All button? Recommend updating manually from our downloads page.

You don't need to spend a bunch of time downloading 83 plugins. Select what you need, download them, update, then in the future just use the download history to redownload them with 1 click except it always downloads latest builds. Download history can be found on the menu to the right on the downloads page or directly below. You can even rename your history and give them a description to better keep track of it.

www.joomlapolis.com/downloads/download-history

Something on your site or server is breaking the Install from Web. There's nothing I can do about that. Sounds like the JSONP request is working ok, but the downloading of the plugins to your server for install is being blocked.

I have still this issue. Manually updating is not an option.

What issues are you having? Update CB itself to the latest release then retry. We've improved Install from Web, but you need the latest CB release for this. See the below blog post on how to use the new Site Keys for completely reliable authentication for Install from Web.

www.joomlapolis.com/blog/kyle/18884-updating-and-installing-plugins-the-easy-way

If you're still unable to update please PM backend super administrator login credentials and will take a look.

Why are these plugins not listed in the Joomla updater like everything else?

Because Joomla can't update extension plugins. CBs ecosystem is independent from Joomlas on purpose. Joomla update system can't handle commercial authentication either. We can't just allow people to download plugins without confirming they have a subscription for them. It's also so we don't depend on Joomla. This allows us to work towards being standalone and not needing Joomla in the future and also to support other CMS platforms in the future.