I think one of the best possible jobs for graduates of English Literature is Teaching/Lecturing. You could as well top it up with an MS.c degree to enable you qualify fully as a University lecturer. You can teach English on one hand, and Literature as well.
You can also decide to work on your own, writing books , novels and pamphlets and publishing them in hard copy or self publishing via Amazon Kindle.
Apart from these, you can work as a proofreader for a company, newspaper making businesses, or even as a secretary to an organization.