I don't think you can boil down the "soul" of Japan to any one anime. Anime is Japanese life as seen through a distorted glass. Azumanga Daioh is hilarious, but it is not really typical. read more
Wait for A drifting life - by Yoshihiro-Tatsumi. anime it will be releasing soon (google it). It portraits Japan society well. From a manga perspective you want to take a look at Yoshihito's work. read more
Regarded as one of the best action anime, Cowboy Bebop is a space western with dashes of film noir, gothic horror, creature-feature, black comedy, screwball comedy, spy action, crime, romance, tragedy, action, philosophy, science, spirituality, fatalism, optimism, and more. read more