When it comes to working abroad and moving countries, are there any particular countries that allow for better opportunities after graduation? Countries that offer degrees which tend to be more commonly accepted outside of their territory?

Would the UK and the US be some of the best options if the plan is to work abroad and move about? Or is this not really adviced?

I mean, the institution itself of course will have a big influence. If it's a good school it'll offer more freedom than a mediocre school from a very "international" country. But I was still wondering...