The dream catchers of American Indian lore are stylized spider webs. The original dream catcher was said to be woven by Iktomi, the trickster god of Sioux lore who takes the form of a spider.
Anansi is a trickster god of west African lore and thought to originate in Ghana. He is sometimes a spider, sometimes a spider with human traits and sometimes a human with spider traits. Anansi plays a huge role in the mythology of West Africa.
Jorogumo is a Japanese kind of predatory spirit, also a trickster, who takes the form of a beautiful woman to entice men to their deaths by devouring. The bizarre Japanese horror movie "Audition" depicted this.
The most important god of the fierce South American tribe, the Moche, was Ai Apaec, the Decapitator, whom they depicted as a spider. In his name, the Moche took the heads of their prisoners captured in battle. Here he holds a human head in his rear legs.
The Indians who made the amazing lines at Nazca thought highly enough of the spider to depict her.