There is no particular list management application for Android that we recommend for GTD. Our Common Tools page captures the most common tools we come across in our work with clients and have evaluated to know their features, benefits, and applicability to the GTD® approach. You'll find our Common Tools page here: http://www.davidco.com/commontools
The challenge with Android, in particular, is that Google built the device without a Tasks application, which is a core component of an effective GTD system.
You may find that posting your question to our Public Forums would generate helpful responses from the community about what third-party Tasks application they are using: http://www.davidco.com/forum/