It goes without saying that their love for Christ should be at the top of the list.
Right after godliness and important character traits, education is high on my list. I value education over wealth. But education to me means knowledge, exposure, the ability to think critically and discuss complex issues and, most importantly, a joy for learning. It reflects an individual's well-roundedness, not necessarily how many degrees they have. I wouldn't overlook someone if they didn't have an advanced degree, but I would want to know whether their values align with my own.
I am an academic, which means that I value education as a process and as an academic institution. As a woman academic, I would have to be with someone who is very secure in himself and who does not feel threatened by my education. This is a talent and calling that God has given me. Therefore, it would be nice to marry someone who appreciates what I do and who supports me in my goals as a scholar. I also see myself supporting my husband in his intellectual goals and endeavors. I would love to be with someone who shares the same aspirations so that we could support each other. Usually, these type of men also have advanced degrees.
In my family, I was encouraged to reach for the highest in terms of education. My family always told me (quoting from Scripture), "To whom much is given much is required." I was always expected to go beyond a bachelor's degree, and I have. For my family, education means open doors. I see education slightly different from them. For me, it's about knowledge and being able to impart knowledge on others.
It is a value that I would also like to pass on to my children. So, I wouldn't marry someone who doesn't value education.