I have used FireFox and their betas for many years with No Script add on. Works nicely.
I use Firefox and Thunderbird and it also works well for me with one exception. That is, it TELLS ME when it is going to do an update, it doesn't ASK. And that may be when I need to shut down the computer and leave quickly. But, NO, I have to wait until Firefox (or Thunderbird) is through updating first. For various reasons I will not leave the computer on, or even powered up, when its not in use, so this is a real burden. For that reason, I'm looking for something else that is equally versatile but not so "BOSSY". As others have noted though, google is NOT an option. Picky, YES, but until they pay for the computer and its operation, I make the rules, NOT the software!.