Despite all the court cases holding early petition deadlines unconstitutional, for newly-qualifying parties, there are two states that require new parties to have qualified by November 2019, if they wish to be on the ballot for all partisan office in 2020. They are California and Utah.
California requires a new party to have finished its registration drive by November 4, 2019, if it wants to participate in the 2020 election for office other than president. Utah requires a new party to have completed its petition drive by November 30, 2019, in order to be on the ballot in 2020. In the past, Utah let candidates who use the independent procedure have a party label next to their names on the ballot, but that law was repealed in 2009, and now candidates who use the independent procedure can only have the label “Unaffiliated.”
No group has ever sued Utah over its early petition deadline. The Justice Party and the Constitution Party sued California over its early deadline for new parties in 2012, and they won the case. But the legislature only changed the deadline for parties that want to run for president.