Rather than try and provide a personal viewpoint, I'll try and link you to some mostly unbiased sources on what he has actually done.
http://www.politifact.com/ohio/promises/kasich-o-meter/
http://www.economist.com/news/unite...ould-be-formidable-candidate-kasich-conundrum
http://www.pbs.org/newshour/updates/john-kasich-believe-candidate-stands-10-issues/
What you'll notice is a strong focus on bringing in and retaining national corporations. He also has taken steps to create an atmosphere where businesses can grow and be successful, and again stay in state once reaching that point. He's taking steps to eliminate the income tax in the state, remove the death tax, and offset training costs for businesses.
Famously, he did try to wage a war with the government unions in the state under the belief that government employees shouldn't be unionized, but that backfired famously. While my viewpoint isn't likely the favorite of this board, I do think he had a point, but it's hard to get it across when you're facing that much funding and preconceived notions of the struggle for teachers and police officers to get it heard.
His biggest mistake, IMO, was attempting to cut wages more or less across the board for all government employees EXCEPT for elected officials. Now, he probably couldn't have passed it without that exception, but it screamed self-serving to the common man.
There are many things I don't agree with Kasich on, but they are mostly social issues. It's hard to argue against his pragmatic approach when it comes to fiscal policy. Simply put, he wants to remove roadblocks for development and tax on the back end. He wants to remove competitive advantages states like PA, Texas and Florida have in their more progressive taxing policies and get Ohio on track, previously we've been fighting with a decrease in population with an increase in taxes to offset the losses, a model which is obviously unsustainable, and had us in a very bad position less than a decade ago. I don't know if people have short memories or just don't travel outside of the state very often, but things were pretty damn bad here in Ohio very recently. It's night and day to what it is now, and we still have a ways to go.