Unlike its four predecessors in the Disney Animated Canon, none of the DVDs or Blu-Ray Discs contain a logo for Walt Disney's then-distributor, RKO Radio Pictures. Currently, the only home video version of the film to contain its RKO logo is the 1997 laserdisc.
Enforced Method Acting: Peter Behn (young Thumper in the first film) was only four during the recording phase, and couldn't read the script. Instead, he mimicked the director, until each line had the vocal inflection that was needed.
Surprisingly, the original novel got a direct sequel called Bambi's Children...that was never released or translated in America. However, back in Bambi's heyday, Disney did complete and publish a comic book adaptation of Bambi's Children.
Interestingly, the modern Bambi II happened to be released theatrically overseas, but in the US it was a direct to video release, for whatever reason.
Also, thanks to a little thing called World War II, Bambi originally didn't get released in Japan. However, Osamu Tezuka made a manga adaptation of the film during the 60's after getting permission from Walt himself when they met each other at the World Fair of the time.
According to the book "Mickey and the Gang: Classic Stories in Verse", a film adaptation of "Bambi's Children" was actually planned but never got beyond the early stages of development.
The later released midquel Bambi II was to be titled Bambi And The Great Prince Of The Forest in early stages.
In the production of the first film it was debated how to show the death of Bambi's mom- originally there was scene where we would see her body collapse as she jumped over a log, after hearing the sound of a shotgun, but it was decided the scene would be more effective emotionally if we don't actually see her die. Walt Disney was also eager to show Man burned to death by the fire that he inadvertently started, but this was discarded when it was decided not to show man at all.
Thumper's father was planned to appear in person, but that didn't make it into the final film.