CiviMail - Unable to select group, getting error of No recipients
Because you update so frequently, it's easy to track down the potential issues.  I see two relevant changes to CiviMail's recipient list: CRM-20521 and (maybe) CRM-21070.

In non-technical terms: Prior to Civi 4.7.24, all the mailing groups were loaded onto the mailing form when you selected "New Mailing".  For sites with many groups, that made things slow.  In 4.7.24+, the list is loaded after the page is loaded, in a more efficient way.

First, look at the screenshot on CRM-21070: Does your "Recipients" box look like this?  If the box is present, but has no data, the issue is related to CRM-20521.

If this is caused by CRM-20521, then you have a JavaScript problem.  That could be a bug, but more likely means your Resource URLs are incorrect.  Please consult troubleshooting JavaScript in CiviCRM - in particular, check your browser's dev tools Network/XHR tab for errors - and you should find your solution.  If you find an error but you're not sure what to do, please edit this question with the errors you find.