According to the BBFC's annual report, the correspondent "was concerned that children may be encouraged to play on railway tracks as a result of seeing the film".
However, the UK's classification board decided that "it was very unlikely that The Railway Children would promote such dangerous activity". Certainly the limited number of Railway Children related accidents that have occurred since the film's release in 1970 is probably evidence enough.
More recent releases were the source of the most complaints, however. Topping the list was The Woman in Black, which received 134 complaints. The main concern was whether or not the film's 'scary' content was suitable for younger audiences given its 12A certificate (meaning younger viewers can view the film when accompanied by adults).
Men in Black 3 received 50 complaints ("for its language, violence, horror and sexual innuendo") and The Hunger Games "generated 43 complaints about its violence and theme". Other parental guidance or 12A films such as We Bought a Zoo and Salmon Fishing in the Yemen received complaints for their use of obscenities.
The full report is available online, and also outlines the increasing shifts in classification for online releases.