There are a lot of science-related jobs out there, at different levels of experience.
Teaching is one example that has a range of career levels. With a science degree one could be a science teacher in high schools, graduate schools and medical schools.
Research is another possibility. A scientist can find employment as a researcher in colleges, academic medical centers and universities, or in private companies like pharmaceutical companies. Sometimes this is as the head of a laboratory, but more often this is as a technician supporting the ongoing research. If you've ever taken medicine, there's a good chance that a scientist either came up with the idea for the medicine, or tested the medicine.
In archeology, here's a good webpage that has some ideas for careers. http://www.sha.org/sha_kbro.htm
Hope this is helpful!