How do you turn off version control in android studio?

In Android Studio 1.2.x

FILE -> SETTINGS -> VERSION CONTROL

Here the root is shown, Press (-) button to delete.

To disable VCS in Android Studio on a Mac do the following:

Android Studio > Preferences...

In the Preferences window, select Version Control and under Directory choose VCS dropdown to be <none>

Don't forget to click "Apply" in the general Preferences buttons at the bottom.

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For 2022...

It would seem that Android Studio nowadays does not automatically start with version control turned on for a new project.

The default seems to be "off" at the beginning of a new project.

(It does conveniently make a ".gitignore" file for you but it does not default to trying to use version control.)

However, if later you do manually yourself start using git in the folder in question, Studio does turn on vcs inside Studio, i.e. exactly as seen in the image above. In that case you'll have turn it off inside Studio, exactly as shown above.