This is very convenient, Google Accounts, Amazon AWS[1], SSH[2], and Dropbox, all from one simple app.

If Google Authenticator allowed to change the order of accounts without removing and readding them, I would have absolutely nothing to complain about.

[1] https://aws.amazon.com/mfa/faqs/

[2] http://askubuntu.com/questions/159727/how-can-i-use-a-passco...

In the iOS app, you can change the order by tapping 'edit' and then by drag and drop. The 'edit' button usually works if you tap and cancel the '+' button first.