The New Jersey State Elections office has posted an unofficial list of candidates for the congressional elections of November 2024. For U.S. Senate, there are five petitioning candidates, the nominees of the Libertarian, Green, and Socialist Workers Party, and two independent candidates, incumbent Robert Menendez and Patricia Mooneyham. See here.
For U.S. House, the Green Party has nominees in all twelve districts, the first time that party has ever run for all seats in New Jersey. The Libertarian Party has seven; the Socialist Workers Party has one. There are also thirteen independents. See here.