An airing on ABC in 2002 played it completely intact with the exception of a scene in which Admiral Boom refers to the nannies waiting to be interviewed as a "ghastly looking crew".
The original print opened with the Buena Vista Distribution logo, as all Disney films released after 1953 did then. In 2004, for the 40th Anniversary DVD, this was replaced with the Walt Disney Pictures logo. The same thing has been done with the other old Disney films ever since the studio changed its name from Walt Disney Productions to Walt Disney Pictures. The Buena Vista logo was restored for the 2013 Blu-ray release.
In some theaters, likely British theaters, there was an intermission after Mary Poppins finished singing Stay Awake. The 2004 DVD includes a fullscreen clip of the number fading to black and an intermission card appearing.