Here is a list of all the musical themes and motifs (i.e. recurring musical patterns - I am not including the extra incidental music that is heard once and then never reprised) used in "Star Wars, Episode IV: A New Hope", with a brief musical score excerpt included for reference, roughly in order of significance.
Tusken Raiders Theme (no score, but audio example):
NOTE: Throne Room, part a is not included here because it is identical to the Force theme illustrated above.
The Music of Star Wars
These posts will help focus and develop my analyses of John Williams' film scores.