Beshear, who is running with state Sen. Daniel Mongiardo, pledged a constitutional amendment to limit the governor's power to pardon, a power some have said Gov. Ernie Fletcher abused in 2005 during the merit system hiring investigation. Beshear proposed only allowing the governor to pardon those who have been convicted of a crime.
If elected, Beshear said he would also concentrate on the use of coal and alternative fuels, and ensure that all children in the state have health insurance.
True said she and Henry will also work to provide more Kentuckians with health care coverage and lower prescription drug costs. College tuition increases are also a concern.
"We must take care of our families," she said. "I want my children to have the opportunity to go to college when they grow up."
True pledged $200 million in funding for biodiesel fuel during the first days of Henry's administration, and a louder voice for women in Frankfort. Henry has said he will create a Veterans Affairs cabinet and appoint his wife, Heather French Henry, to lead it.
"I want to concentrate on women's issues," True said. "We are going to see that more women are appointed to boards and commissions."
Richards, Kentucky speaker of the house who is running with John Y. Brown III, said one of his strengths is electability.
"We can win this fall, and that's what this primary is about, folks, is who can win this fall," he said.
Richards proposed strengthening Kentucky's education system through a "principals academy" for training, higher pay for teachers and all-day Kindergarten. Jessamine offers only half-day Kindergarten.
"The Richards-Brown ticket will make sure that any young person who wants to go to college can afford to go in our new Kentucky plan," he said.
A Veterans Affairs cabinet is also on Richard's to-do list, he said, along with use of alternative fuels and lower prescription drug prices, possibly by purchasing medicines from Canada.
Galbraith focused much of his agenda on education.
"Without raising taxes a penny, we can give every high school graduate in the state of Kentucky a $5,000 voucher for books, tuition and fees to institutions of further learning within the state of Kentucky," he said, adding the money could go toward colleges and universities, but also schools for cosmetologists, truck drivers and electricians.
"Let's quit talking about higher education, let's talk about further education, because our C and D students need to be trained into employability too," he said.
"Everybody deserves to be trained into employability."
Galbraith proposed giving economic incentives to environmentally-friendly companies, and he said the state should seek money for drug treatment programs from pharmaceutical companies because of prescription drug addictions.
"We made the tobacco companies do it, we made the alcohol companies do it, it's time we made the pharmaceutical companies come in here and lay out serious money so we can treat the ill effects (of prescription drugs)," he said.
The five other candidates at the forum have served in state government before, and they didn't get the job done, Galbraith said.
"It's time Kentucky ... got out of this mentality where we've got to be 46th, 47th and 48th," he said. "Folks, electing another pretty face to put at the front of a failing restaurant is not going to solve the problems in the kitchen. Somebody's got to go back there and clean out them grease traps, and I'm just the guy to do it."
Edelman, speaking on behalf of Lunsford, suggested that when problems with the state education system are repaired, other areas of concern - like the need for more jobs - will "fall into place."