Most people will usually travel with friends or family, but even though you are not on the trip alone, try to take an hour or two apart from the person/people you are traveling with. Not only will you experience the place in a whole new way, but you are also much more likely to talk to locals.
This might seem like a lot of work for the more lazy people out there, but walking places instead of taking a taxi or the subway, will allow you to see so many things that you might not see otherwise, and even though it should not be a goal, it can happen that you get lost and end up somewhere even better than you were planning on going.
I’m sure this is something everybody have been told a million times, but when you travel it is always nice to see the country from a more local point of view. I mean there really would be no point in going to a whole new country if you are only gonna eat at Mc Donals and do things that you might as well just have done in your hometown.