Teaching English abroad has become really popular in recent years. Places like South Korea, Japan, the former Soviet Union, China, Mexico, South America, and others have been hiring many people from English-speaking countries to improve the English abilities of students in their country.
Unless you are well versed in another language I would start with an online job or internship search in England and after you have snuck into Euro world then you will have more opportunity and flexibility to navigate throughout the EU. Also it would help if you can somehow create or reach a contact there. I will be reaching out to some friends in France and London after receiving my masters so let me know how that goes lol.