Last week, I mentioned that you can customize Google's app launcher, but the feature didn't work well: changes weren't saved. Now it works well and you can reorder the apps using drag and drop, but only if you're signed in to your Google Account. You can also add new shortcuts: go to Google Keep, Google Sites, Play Music, Webmaster Central, Google Voice, Google Patents, Google Groups, click the app launcher icon and then click "Add a shortcut".
There's no way to remove shortcuts, but you can always drag them to the second page, so they're out of the way.
Here are the default apps in the US:
I also found a strange issue: some of the shortcuts are greyed out and nothing happens when you click them. It may have something to do with using the US interface outside the US.