I have some routines (favorite foods, evening routine, color of clothes) but I am also really curious about anything new or unusual.
For example when tram rails are damaged and some trams go unusual routes I will intentionally get in a tram with a messed up route to see which way it will go. I am also never planning which tram I am going to use when leaving home to go to school or part time job. I will just count how much time the travel will take and go to the tram stop blind and see what tram goes next in the direction I am going. Then I will enter it and switch at some point, based on real time trams tracking app in my smartphone. Sometimes I will go as far as switch trams 3-4 times before getting to the target place, although I could do it without switching at all if I only waited 5-10 mins for the direct tram. I call it "teleporting" because it's often faster than waiting for the direct tram. And my going home is even worse - you never know where I end up. I will get in the tram with the intention of going home but in the middle of way I will change my mind, think "Lets eat something"/"Lets go shopping" and end up somewhere totally random. Because I have time.
When I first moved to the city I spent most of my days getting into random trams and going wherever they were going - to learn their routes. And sometimes I will also get into a random tram or bus and observe my surroundings till I think "oh, that place/shop looks nice" and get out to wander without caring how I return home (no big deal, I have a smartphone with gps and bus/tram locations so I won't be lost for long and I have a monthly ticket for whole city so I don't have to worry about the money).
I am also often hunting for promotions in hypermarkets in order to discover new foods. Well, not just hypermarkets. If I have enough money I will also go to places with "all food, one price" and take a little bit of pretty much everything they have - for taste testing. I also always do the taste testing in random events and I am not afraid of trying even weird food - I did try worms already, they tasted like popcorn.
If there is an event in my city I will probably go there for the sake of seeking what is going on there too. I will happily attend all trips organized by my school. And I will curiously come to see when my flatmate says "Guess what I bought!".