This depends on how much you want to move, and what you'd like to do in a place. If you're ok with a new town/country every few years, here are some things you could consider:
1) Journalism. It's hard to say what journalism is going to look like in the next 5-10 years, but certainly the willingness to travel, learn, and meet new people will get you interesting places.
2) Diplomacy. The US Foreign Service always needs good translators, diplomats, analysts, experts of various kinds etc., at different embassies and locations all over the world. (http://careers.state.gov/work/foreign-service/officer)
3) Military. The military moves people to different bases and postings every 3-4 years, though you don't have a lot of control over where you go (it depends on your skill set and where the military needs you). But it won't be boring, and the better you are at adapting to new circumstances and people, the higher you'll go.
4) Various kinds of civil engineering. People who build infrastructure often move to where the project is, on a 18 month - 5 year timescale, depending on what the project is. "Infrastructure" is a big category, by the way; some of the most reliable move-every-few-years jobs I know is oil services.
There are probably tons more that I'm not thinking of. In general, there are a lot of jobs, particularly with multi-national corporations, where it's an advantage to be willing to move around and work at different locations/divisions, but fewer where you'll be guaranteed to move every few years.