VA's biggest advantage over FHA is probably that you can purchase with up to 100% financing. For refinance I'm uncertain there is any clear advantage. Here is a link to my blog outlining the differences.
http://activerain.com/blogsview/624754/What-s-the-advantage

For more on Government loans click here:
http://www.gregzaccagni.com/GovernmentLoanPrograms

Hi Jeannie-

A lot of qualifying for a government loan outside of a Bankruptcy has a lot to do with being able to explain the circumstances behind your bankruptcy and try to help th lender understand that those circumstances are not likely to happen again. Usually you can provide letters, receipts, and alternative credit docs to help justify the origination of your mortgage. I do this a lot so I can help you through it if you would like help.

Thanks
Luke Allison
Flagstar Bank
828-777-8828
Luke.Allison@flagstar.com