This year, two independent presidential candidates filed petitions in Ohio. The petition of Michael Vargo has been rejected because it didn’t list anyone for vice-president. See this story. He apparently did not know that Ohio election law permits stand-ins, so even though he hadn’t found his actual running mate when he started petitioning, he could have used a stand-in.
The other independent presidential petition, for Richard Duncan, has been approved. Duncan was also an independent presidential candidate in Ohio (but no other state) in 2008. In 2008, he received 3,905 votes. Ohio requires 5,000 valid signatures for independent candidates for statewide office.
Ohio has seven ballot-qualified parties: Democratic, Republican, Constitution, Green, Libertarian, Socialist, and Americans Elect.