What degree can i get in college that lets me travel to different countrys?

I know of a person who became an engineer (4 years BSc degree), but then decided she wants to travel the world.
So, she became a tour guide. I think she's very happy traveling the world and getting payed for.

Another way you could travel to different places with your job, would be to be some kind of field tech person. Many companies who sell products world wide (like cellular antenas or even xerox machines) need a technician to give support and install their products wherever they sell them to. Sometimes such companies need a person to just train the locals on how to use their products, which by definition means only short term visits to different places.

In any case I would suggest that appart from gaining the proper techinical training to be able to give such support you'd also learn some languages (like chinese, german, spanish, or whatever) that may be of use in such a job.

Arab Studies or international Business.