There have been many films made around the world, all dedicated to the novels part of the Anne series.
There are nine popular films (there is info here on the music used in the latest Anne movies):

ANNE OF GREEN GABLES (1919)

The first Anne silent film starring Mary Miles Minter, this film was directed by William Desmond Taylor and produced by Realart Pictures Corporation.


ANNE OF GREEN GABLES (1934)

Starring Anne Shirley, this film was directed by George Nichols Jr. and produced by RKO Radio Pictures Inc.


ANNE OF WINDY POPLARS (1940)

The sequel to Anne of Green Gables (1934) starring Anne Shirley, this film was directed by Jack Hively and also produced by RKO Pictures Inc.


ANNE OF GREEN GABLES (1956) (TV)

Starring Toby Tarnow, this tv musical was directed by Donald Harron and produced by the Canadian Broadcasting Corporation (CBC). In 1965, Harron adapted this musical to the stage, where it is performed annually at the Charlottetown Festival./p>


ANNE OF GREEN GABLES (1972) (TV)

Starring Kim Braden, this tv miniseries was directed by Joan Craft and was produced by the British Broadcasting Corporation (BBC).


ANNE OF AVONLEA (1975) (TV)

The sequel to Anne of Green Gables (1972) starring Kim Braden, this tv miniseries was directed by Joan Craft and was produced by the British Broadcasting Corporation (BBC).


AKAGE NO ANNE (1979) (TV)

Anne of Green Gables is adapted into 50 animated episodes.


ANNE OF GREEN GABLES (1985) (TV)

Starring Megan Follows, this widely known film version was directed by Kevin Sullivan and produced by City-TV, Canadian Broadcasting Corporation (CBC), Sullivan Entertainment Inc., TV-60 Filmproduktion GmbH and WonderWorks.


ANNE OF GREEN GABLES: THE SEQUEL (1987) (TV)

The sequel to the popular Anne of Green Gables (1985) starring Megan Follows, it is directed by Kevin Sullivan once again and produced by Canadian Broadcasting Corporation (CBC), Channel 4 Television Corporation, Sullivan Entertainment Inc. and Walt Disney Television.


ANNE OF GREEN GABLES: THE CONTINUING STORY (2000) (TV)

The third installment of the Anne of Green Gables movies by Kevin Sullivan, it reunites the actors 13 years later with a plot not based on the Anne series. Megan Follows reprises her role as Anne Shirley and now directed by Stefan Scaini, it was produced by Anne III Productions Inc., Public Broadcasting Service (PBS), Canadian Broadcasting Corporation (CBC), Sullivan Entertainment Inc.


ANNE OF GREEN GABLES: THE ANIMATED SERIES (2000) (TV)

This animated children's television show is also produced by Sullivan Entertainment Inc. and Annemation Productions Inc.


ANNE OF GREEN GABLES: THE BEGINNING (2008) (TV)

This animated children's television show is also produced by Sullivan Entertainment Inc. and Annemation Productions Inc.