While the 20th Century Fox design has only changed 10 times from 1935 to 2016, there have been approximately 270 different alterations made to the logo throughout the years. The alterations consist of mostly hue changes; from the early black and white version, to a blue tint in 1976's "All This and World War II", to matte painting overlays, as seen with "Edward Scissorhands" and "Moulin Rouge".
270 is quite the number, but is second behind Warner Brothers, with approximately 340 logo variations since 1923. And since 1923, Warner Brothers has gone through 13 complete logo changes. The current logo has essentially gone unchanged since 1998.