This is an interesting question, so I just thought I’d chime in from an “old-timer’s” perspective. 
At this point, almost thirty(!) years since I first began studying Japanese (with the past twenty of those spent living in Japan and using the language every day), I would say I feel like I’ve reached my initial goal, which was to reach the point where I could function in Japanese at a level approaching (if not equal to) an educated adult native speaker.
Was there one moment I can point back to where it all “clicked” and I was like…“Whoa, I know Japanese!” (I’m thinking Keanu Reeves as Neo in The Matrix here
). Not really.
I remember having various “moments of enlightenment” along the way, like sitting down to talk to a Japanese friend after class and then realizing three hours later that we’d been talking in Japanese the whole time, or getting lost in a Haruki Murakami novel or a TV series and forgetting that I was reading/listening to a “foreign language”. But then, I also remember times after those moments when I would still struggle to read something, or get frustrated at not being able to express myself fluently or with my desired nuance, so while certain things might have felt breakthroughs at the time, often I still had a ways to go. (And of course, even now I’ll still pick up a new word or phrase from time to time – the learning process never truly ends.)
It’s not a straight path upward and forward, and it’s definitely not something that corresponds to a certain JLPT level or after learning X number of words, because rewiring your brain to process Japanese fluidly and fluently is a complex process involving a lot of interconnected factors, many of which often can’t be easily quantified.
As many others have said, too, the areas you improve at will also depend on what you spend the most time working at. I think at first it’s fine to stick with the things that interest you most (because you’ll be naturally motivated to want to understand them), but it also never hurts to step out of your comfort zone and challenge yourself to do something new. It’s kind of like exercise – you have to work out the various (mental) muscles to get the benefit.
At the end of the day, I think the most important thing is to develop for yourself an accurate sense of your own abilities, to know what your strengths and weaknesses are and make sure you’re working to fill in the gaps. As long as you’re doing that (and giving yourself consistent exposure to the language), you’ll find yourself understanding more and more over time, and while there might not be one moment where it all ‘clicks’, you will feel the pieces gradually fitting together, and your understanding and appreciation deepening over time.
If you ever feel like you’re stalling, you can always go back to something you read or listened to a while ago – many times, I think you’d be surprised at how much your comprehension has improved.
Best of luck in your studies!