Ohio Attorney General:
Repubican Mike Crites (currently in private practice) is challenging
County Commissioner (2):
Republican Ed Rothenberg (running without his party's endorsement) is challenging incumbent Democrat Todd Portune.
Independent Chris Dole (a registered Democrat running without that party's endorsement, currently a Crosby Township trustee) and Republican Greg Hartmann (currently Clerk of Courts) are running for an open seat (left open by incumbent Pat DeWine).
Clerk of Courts:
Democrat Martha Good (currently a professor at Miami) and Republican Patricia Clancy (currently a county probation officer) are running for this seat (left open by incumbent Greg Hartmann).
Democrat Wayne Coates (currently bailiff to Judge Ted Berry) is challenging incumbent Republican Rebecca Groppe.
Democrat Steve Brinker (an attorney in private practice) is challenging incumbent Republican Robert Goering, for whom I can't locate a campaign website).
Common Pleas Court Judge (Three Contested Seats):
Democratic-endorsed Norma Holt Davis (currently in private practice) and Republican-endorsed Pat DeWine (currently a county comissioner) are running for a six-year term in a seat that is being vacated by Judge David Davis, who is retiring at the end of the current term.
Democratic-endorsed Jerry Metz (in private practice) is challenging Republican-endorsed incumbent Judge Fred Nelson, for whom I can't locate a campaign website, for a fresh six-year term.
Democratic-endorsed incumbent Judge Jody Luebbers is being challenged by Republican-endorsed Municipal Court Judge Russell Mock for an unexpired term that ends January 1, 2011. This is a mid-term election for a seat initially held by Judge Dinkelacher, who retired from Common Pleas Court after being elected to the Court of Appeals. Alex Triantafilou was appointed to the seat by then-Governor Taft in 2006, but resigned to become HamCo GOP chair before being required to defend the seat in an election.
Update: Post revised slightly to correct a really silly error I made with respect to the AG race.