That game was Vampire, but we had quite a bit of stuff. Obviously everybody had their own character sheet, and each person had around 10 dice. We also had real-world props that we used. Our GM used Vampire cards from the card game as portraits for NPCs, so we could easily picture people. We were constantly fiddling with the cards and arranging them according to our various theories about the political power in the city. So, maybe not quite as much but a comparable amount of stuff.
Maybe I'm weird though; I still have all the pieces from some of the toys I had as a child. I think if you're careful, it's not a problem.