According to this page
https://finance.zacks.com/first-company-offered-new-york-sto... the first five stocks listed included the Bank of New York which still exists as BNY Mellon. It doesn't indicate what the other four stocks were, but presumably they no longer exist (The NYSE page on Wikipedia lists other traded securities as shares in The First Bank of the United States (defunct in 1821) and the Bank of North America (which became a private institution (it was previously the de facto central bank of the nascent U.S.) in 1785 before merging with Commercial Trust Company in 1923. Its successor institutions were eventually acquired by Wells Fargo so presumably if you'd bought shares in 1785 and held on to them for the next 236 years you'd now be holding shares in Wells Fargo). As far as I can tell all other trading was in government bonds.