On March 12, 1989 Tim Berners-Lee who was then working at CERN in Europe wrote a proposal to use linking on the internet using hypertext. That was the official start of what would become the billions of web pages on the internet.
The web anniversary got me thinking of what genealogy website had been around the longest. After much digging, I think that the answer probably is Olive Tree Genealogy by Lorine McGinnis Schulze. Her website has been around since February 1996. Lorine has many unique sources. She is from Canada so she has many Canadian resources. She also has many ship passenger lists from all over the world. For New York State she has records of immigrants to New Netherland (1628-1674.) and other early groups that came to the US including Palantines, Huguenots and Walloons. Her website takes a little work to find all the what the genealogy pages that you want but it could be worth your search.
A close second for oldest genealogy website is Cyndi’s List. Cyndi’s documentation and my research both indicate that she first published her list on March 4, 1996. At that time she only had 1,025 links. I found that on April 5, 1997 she had 17,200 links. As of today she has 329,765 genealogy links to all over the world.
Dick Eastman got on CompuServe in the mid 1980s. CompuServe was a limited network in that you had to subscribe and paid for use by the minute. I got on CompuServe about 1990 and Dick was already a manager of a genealogy forum. Dick started his famous email newsletter in January 1996. That would be considered part of the internet but the Web. Dick finally started posting his newsletter on the Web in about June 2004.
It is probably import to note that both Olive Tree and Cyndi’s List have moved around the internet over time. Neither started as their own domain. Those came years after they got started. I used “Wayback Machine” on the Internet Archive for researching old websites. If you know of a genealogy website older than Olive Tree please post a comment.