What degree is recommended for a prospective mechanical engineer?

I'm not sure your question is phrased correctly. Obviously, a degree in mechanical engineering is the best degree to earn in order to become a mechanical engineer. As to which college to apply for, my experience is that really doesn't matter all that much. I have worked with really excellent engineers who had two years at a community college before earning a BS from a university. I have worked with engineers that I really did not think were that good who had four years at some of the top rated engineering schools. It all depends on how much effort you put into learning and acquiring the knowledge you are exposed to. I used to work extra problems in areas that I had trouble with, until I had mastered the area. Also, once you have graduated, it is good to keep learning - I recommend taking the EIT as soon as possible after graduating and purchasing the PE exam books (occasionally challenge yourself by picking problems at random and trying to solve

That's a real tough question to answer without a little more background. Do you know what you want to specialize in? If not, I would recommend staying close to home or an in state school. Look online for how the colleges close by rank compared to other more well known colleges. I chose a smaller university that was in state that was also highly recognized as a great school that employers recognize as a source of great future employees. I'm happy I went to a smaller school. Generally there will be less distractions, and smaller classes which make it easier to get to know your professors and get help when you need it.

I would suggest applying to a college with an accredited program. A program that is recognized by ABET - the Accreditation Board for Engineering and Technology would be preferred. The most important thing about education is the effort you put into it. Not necessarily how prestigious the college or university. Find a college or university that has an ABET accreditation and apply yourself. You will be successful.