The given name Anycia has its roots in the ancient Greek language, originating during the classical period of ancient Greek civilization. It is believed to be derived from the Greek word "ανυσις," which translates to "completion" or "accomplishment." This suggests that the name may have been bestowed upon individuals with the hope that they would live up to their full potential and achieve great things in their lifetime.

One of the earliest recorded instances of the name Anycia can be found in the writings of the ancient Greek historian Herodotus, who lived in the 5th century BC. He mentioned a woman named Anycia who played a significant role in the political affairs of the city-state of Sparta during the Peloponnesian War.

In the 3rd century AD, the name Anycia gained prominence in the Christian tradition. Saint Anycia was a noble Roman woman who converted to Christianity and dedicated her life to charitable works, helping the poor and advocating for the rights of women and children. Her feast day is celebrated on December 30th in the Eastern Orthodox Church.

During the Byzantine Empire, the name Anycia was widely used among the aristocratic families of Constantinople. One notable figure was Anycia Juliana, a wealthy and influential woman who lived in the 5th century AD. She was known for her patronage of the arts and her support of the Church.

In the 12th century, Anycia de Marli was a French noblewoman and the wife of Walter de Lacy, a powerful Anglo-Norman baron. She played a significant role in the political affairs of medieval England and was known for her intelligence and diplomatic skills.

Another notable figure in history bearing the name Anycia was Anycia Bălăceanu-Stolnici, a Romanian author and feminist who lived in the late 19th and early 20th centuries. She was an advocate for women's rights and education, and her writings helped shape the modern feminist movement in Romania.