Question

What goal did women's rights activists achieved by the end of the 1800s?

Answer 1

The breaking down barriers to women attending college is one thing.
The more important thing is the granting The right to vote "Women's Suffrage".

Answer 2

The right to vote "Women's Suffrage".

In 1893 New Zealand was the first self-governing nation in the world where all adult women, including Maori,  won the right to vote in national elections.Actually, because the Cook Islands (a New Zealand dependency) held an election earlier than New Zealand, they were the first nation in which adult women actually voted.