Ohio Voting Records
The Ohio Secretary of State website has voting info by county in the Voting & Elections section of the site:
The Athens County Board of Elections has election results online, but no records about individual voters (inquire at Athens Co. Board of Elections for anything not online)
(should work similarly in other states or voting districts)
Ohio Driving Records
In Ohio you must send a request to the Ohio Bureau of Motor Vehicles to get a copy of your driving record.
To see the record of another person you must also state that you have consent from the individual authorizing the release of their driving record to you.
Other U.S. states
Other states have various request forms and limited online access to driving and vehicle related records. see example
Birth & Death Certificates
(other states work similarly)