The Koch Brothers are the most well-known.
The Johnsons of Johnson and Johnson, the Waltons of Wal Mart,
If you check out the names of the directors of the Boards of Directors is major companies and eliminate the tokens, the women and the former politicians, anyone who serves on more than three boards is pretty clearly an oligarch. Boards of Directors are generally interlocked affairs. The same names on the Board of a large electric company, like FPL will also be on the board of a major supplier of fuel and manufacturer of generators.
On the board of Arvida, a real estate development company, you will find members from the boards of lumber, cement, electrical wiring, appliance and paving companies.
Most of the members of the oligarchy abhor publicity. Donald Trump is an obvious exception, and he is perhaps only a second class oligarch.