How to get browser for Mac OS10.6.8

Yes there are… In fact most browsers that I know do have legacy downloads.

Here's firefox: https://www.mozilla.org/en-US/firefox/all/#product-desktop-release

Opera: www.opera.com/en/download

Brave does not have some, but see if you can download and execute here: https://brave.com/en/download/

Vivaldi doesn't have either, but same case as with Brave, see for yourself: https://vivaldi.com/en/desktop/

Now, having said that… Indeed, you will get to a point in which you cannot display any site because your web browser is too old, because of whatever reason, but you will need to upgrade your hardware one way or another. Another work around would be to ditch OSx and install Linux, but even then the "upgrades of software" will get to you and your current hardware and render it useless, at least for web browsing, probably you can use it as a media player, but that would be it…

Hi,

Even if you can find a working browser, do not expect it to be secure and fully compatible with modern web pages. See, for example, this old article: https://support.mozilla.org/en-US/questions/1200697