The last time I needed one was in 2011.
My current computer (bought in 2011) never had any java nor flash plugin installed. And I almost never had even the occasion to notice their absence. Let alone the will to install them (I think once or two, I visited a web page that needed flash to run. I just clicked on the next result in google. Not that I am opposed to flash. If that was important to me, I would have installed flash. But it was not worth taking the time to install it)
So, in short, no.
Flash is an obsolete, insecure, inefficient technology, that is way outperformed by HTML5/JS/Canvas/WebGL/etc
Java was never really a web tech (in 1995, maybe, some people were thinking like that. But it never took. At most, it was a method to run heavy client directly from a webpage. But that was for specific usage, not standard web browsing).