Accomplishments. While on his third journey Henry Hudson found three waterways that were named after him; the Hudson River, Hudson Bay, and Hudson Strait. He also sailed farther north than any explorer before him. Henry Hudson returned to North America for the fourth expedition in 1611.Accomplishments. While on his third journey Henry Hudson found three waterways that were named after him; the Hudson River, Hudson Bay, and Hudson Strait. He also sailed farther north than any explorer before him. Henry Hudson returned to North America for the fourth expedition in 1611.