For the past 2 years now I’ve been browsing the web with Java disabled. I’ve had less than 5 situations where I needed to turn it on to do something, and all of those were situations with a limited audience (a very old technical tool, intranet applications). I’m of the opinion you really don’t need it enabled to happily browse the web anymore. I can’t disable Flash yet, but Java I seem to be largely fine without. I still have it on my computer in case I need it, but it’s seldom.
Given the past security issues and the fact that Java is outright annoying UI wise and slow to load, I don’t miss it at all. It served a purpose years ago in a webpage when it was difficult to build apps, but those days are long gone. It’s amazing if you remember Java being used for mouseovers way back when.