The one I object to most strenuously is the Department of Education. Authority over education was never intended to be given to the federal government and the Founders, to a man, considered such power to be dangerous to the liberties and general welfare of the nation.
So I would make it a subdivision of something else--maybe Dept. of Interior--and I would bust its sole function to be a collector and dispenser of information. What are all the admission requirements for the various schools, colleges, universities? Together with school representatives establish a standard to rate these, agree on SAT, ACT testing, and gather testing data, and other pertinent data that would be useful and is impractical for each school to pull together on its own. Have the data organized and in usable form for any school or group or citizen who requests it.
It would not be in the business of dictating curriculum or requirements for any school including what they are required to teach, what they are not allowed to teach, what they are required to serve for lunch, whether the school is required to provide breakast, lunch, dinner, etc. to students, etc.
Its sole purpose would be information gathering and providing that information to those who want or need it.