John Rowland -- actually received personal advantage from contractors doing business with the state -- not just asking for donations or maybe a future job.
Impeachment process and Federal case
In the first year of Rowland's third term, rumors began circulating that contractors doing business with the state paid for and made improvements to his weekend cottage, that he benefited improperly from the sale of a condominium in Washington, D.C. at an inflated price, that he took gifts from subordinates in state government, and that he took partial ownership in businesses immediately before they were granted state contracts. These eventually led to federal investigations and then indictments of some of Rowland's close aides, who then cooperated with federal investigators.
Rumors continued that the investigation was building a case against Rowland himself; Rowland publicly denied the allegations.
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On December 23, 2004, Rowland pleaded guilty to depriving the public of honest service. Rowland was sentenced on March 18, 2005, in New Haven, Connecticut to one year and one day in prison, four months house arrest, three years probation and community service. On April 1 he entered Federal Correctional Institution, Loretto in Pennsylvania. His Federal inmate number was 15623-014.
http://en.wikipedia.org/wiki/John_G._RowlandSonny Perdue - - still serving as governor of Georgia from what I can tell
In mid-2003, Perdue purchased 101 acres (0.41 km2) of land next to his Houston County home, for $303,000, after negotiating directly with the owner. The purchase was done using a limited liability company named Maryson LLC, a corporation formed on July 23, 2003.<6> Maryson's registered agent was Stephan Holcomb, a Houston County dentist. Perdue appointed Holcomb, a neighbor of the governor's sister in Houston County, to the state Board of Dentistry in 2003. The lawyer who organized Maryson LLC was state representative Larry O'Neal (R-Warner Robins), the chairman of the Ways & Means committee of the House.<7> Perdue paid the 2003 tax bill on the property after it was acquired by Maryson, Houston County tax records show.
In May 2004, the land was transferred from Maryson to Perdue's own name.<6> The transfer price was recorded at $305,000. Maryson was dissolved on July 9, 2005, a year after the sale.<7>
Perdue failed to disclose the property or any interest in Maryson on his financial disclosure forms for calendar years 2003 and 2004, as required by Georgia law.<6> Five days after Maryson was incorporated in 2003, O'Neal also incorporated a partnership for Perdue and his wife, Mary, called Perdue Plantation LLC, according to the Secretary of State's Office. This partnership also was not listed on Perdue's 2004 financial disclosure report. The Secretary of State's Office said an official is required to report ownership or a fiduciary position in a company.<7>
http://en.wikipedia.org/wiki/Sonny_Perdue
He may have had some trouble with an ethics violations investigation, but I'm not sure whether he was penalized or punished in any way.