On November 1, the Democratic Party sued Georgia over the law that says the nominees of the party that won the last gubernatorial race are always listed first on the general election ballot. S.P.S. v Raffensperger. The case doesn’t have a number yet so has not yet been assigned to a judge.
Unlike similar Democratic Party lawsuits in Texas, Florida, and Arizona, this Complaint does not suggest that only major parties are entitled to an equal chance to be listed first on the ballot.
The first-named plaintiff is identified only by his initials, because he is not yet 18 years old, but he will be 18 by the time of the 2020 election. Thanks to Brandon Haynes for the link.