Tardis Widget 1
the author of this app says:
Doctor Who TARDIS widget: press the widget directly on your home screen! Plays the TARDIS materialization sound effect and flashes on touch.
This app was suggested by Peter B. I do apologize for the fact that proper animation (like the fading effect in Tardis Button) isn't actually programmatically possible with widgets.
-*Update* Mute option added, so I guess if you prefer to mute on boot that would be a solution of sorts to the problem below.
-When you reboot your phone after the widget is already placed on your home screen, it'll do a weird double update and then stop itself (so basically it plays the TARDIS noise). I'm not really sure why that is at this point, but it's likely a result of the way Android handles widget updates (this widget inherently has no auto-update; each press is considered an update)