I happen to have a pretty good sense of direction, so having been to a location I often slowly stroll back through the city ending up at the hostel or whatever, but making constant detours by choosing streets/neighborhoods I think look interesting. Those are the best moments for me. It's both relaxing and exciting to disconnect my Ti and just let Ne guide me.
A problem I often find frustrating is how difficult it is to leave the tourist experience and get a real taste of the lives of the locals. (If you don't know anyone in town). Even when leaving the tourist routes, going places far off the visitor maps I get a feeling of floating on the surface of the community and wanting to have a greater exchange with the people. I guess that's where you can use something like an ENTP companion to just start up a conversation from nothing.