Wow, this is scary! I feel like I'm reading a post written by me a couple of months ago, when like you I was also in Europe for a short time and looking for any and all opportunities to immerse myself in film and cinematography while over there. And to make it an even scarier coincidence, I'm also around your age and from Australia!
Anyway in the couple of weeks I was in London and Paris I dragged my poor girlfriend into every single place that was in any way related to film-making or photography, including old second-hand camera stores (you'll find these all over both Paris and London, from what I found there were lots of great ones in Soho, including the Sendean camera store which also sold old Bolexes!), photography exhibits and museums (in London make sure to check out both Tates and the National Gallery for plenty of inspiration).
If you can though definitely try to make it over to Paris while you're in Europe, it's the perfect place for anyone who has an obsession with film. The city has some of the best cinemas in the world, and walking down a few back streets you're likely to come across a couple of stores absolutely full of film paraphernalia, including rare movie posters from cult films, press kits from film festivals like Cannes and ancient books and magazines on the topic of film. Seriously that city is film-geek heaven!
And above all make sure you keep shooting 35mm still photos while you're there, if you're anything like me you'll find England and the rest of Europe incredibly inspiring in terms of the quality of light. It's absolutely nothing like being back home in Australia, make the most of it while you're there!