Well 4 of the last 5 governors, right?
I imagine that you mean those who have left office.
Pat Quinn's misbegotten governorship was terminated by the voters but he has not yet been charged, convicted or sentenced but hope springs eternal.
Rod "Elvis" Blagojevich: What Am I bid for this fine and practically unused Senate seat held briefly by Obama? 14 years at Supermax in Colorado.
Lyin' George Ryan was federally convicted and federally jailed for selling commercial tractor truck drivers' licenses for $$$$$$ among other things. As Speake of the Illinois House of Representatives, he was a pillar of social conservatism, joining with Phyllis Schlafly to prevent Illinois ratification of the Equal Rights Amendment. As Secretary of State and as Governor, he became a gilt-edged crook.
Jim Edgar: This POS never saw a social conservative position or a social conservative person that he would not gladly piss on. Living proof that only the good die young. What would I not give to see this bastard behind bars but it does not look likely.
Big Jim Thompson: See the entry for Jim Edgar. Substitute Thompson's name for Edgar's.
Those are the last five governors other than incumbent Bruce Rauner. Only two have been incarcerated to date. Before them, Walkin' Dan Walker and Otto Kerner were both imprisoned. Thus it is four of the last seven governors who have wound up in the federal slam but we can dream.