I've travelled around a lot countries in Asia, Africa and Europe. The only Indy-ish thing I did a lot of was walking around ancient monuments (For one example, Sri Lanka was good for that).
I went white water rafting a couple of times on the Nile in Zimbabwe, which is probably as close to Indy action as I got. And I took a ride in a microlight which is close to being in an old plane in that you are not 'inside'.
But it was more in small, internal ways that I thought of Indy on my travels:
I was walking around the city of Lvov in Ukraine with a few other guys. There was snow and ice on the ground and we had to be careful going down some outdoor stairs. After watching them begin their slow and wobbly progress, I thought to overcome the problem by sliding down the handrail at the side and one of the guys said "There's a man with a sense of adventure." I was secretly pleased with this thoroughly undeserved comment. That was part of my childhood personality still alive in the adult me.
Another example of that is while I was exploring the Great Zimbabwe Monument, I squeezed through a narrow gap between rough stone walls and accidentally scraped the case of my Swiss Army knife, worn on my belt. It made a scratch mark on the leather that I still treasure, in a childlike way, as a souvenir of my 'adventure'.