On May 6, independent presidential candidate Richard Duncan sued Ohio over ballot access.  Duncan v LaRose, s.d., 2:20cv-2295.  He had been collecting signatures in Ohio to get on the ballot since July 31, 2019, and he has a substantial amount, but fewer than the needed 5,000 signatures.  Here is the Complaint.

He successfully got on the Ohio ballot as an independent presidential candidate in 2008, 2012, and 2016.  He asks that the number of signatures be reduced due to the health crisis, or that the petition be suspended this year.  His case is assigned to U.S. District Court Judge Michael Watson

On April 19, Joshua Eisen, an independent candidate for U.S. House, New York 17th district, filed a lawsuit for ballot access relief.  Eisen v Cuomo, 54542/2020. Westchester County Supreme Court.  The law requires 3,500 signatures between early April and late May.  Governor Andrew Cuomo has ordered that the start date for such petitions be put off into the future, but he has not yet announced what the new start date should be.  Also he has not cut the number of signatures for independent candidates for any office, even though some time ago he cut the number of signatures for primary candidates down to 30% of the legal requirement.

Eisen asks that electronic signatures be permitted, and that the number for U.S. House be cut from 3,500 to 1,000.

Ballotpedia has this useful list of lawsuits filed that concern election procedures and the health crisis.  The list links to documents concerning each lawsuit.