New Jersey elects its state legislature on November 7, 2023. Filing closed on June 6. The New Jersey state elections office website has a list of the minor party and independent candidates who submitted petitions. For State Senate, there are three Libertarians, one Socialist Worker, and five independents. For Assembly, there are two Libertarians, one Socialist Worker, one Green, and five independents.
Links to the list are here. There are two links, one for State Senate and one for Assembly. Thanks to commenter Bob M. for reminding me that this list is now available.
Thanks for the update Richard