All of my four WordPress sites started getting "Too many redirect" errors and the recommended fixes of deleting cookies, enabling third-party cookies and checking/modifying .htaccess had no effect.
One of my customers didn't care for the WPTouch mobile formatting so I removed it - The site started working. I have since removed WPTouch from all sites and they all work now.
In all cases, this was the default install, no special settings or changes. And in all cases, the four sites worked with iPads and Desktops. This is just an Android problem.