I don't want to upgrade because it seems every time I do I lose a feature that I like.
I am totally up to date with my OS and Safari but still sometimes will come to a page that doesn't like Safari. I work around that by having another browser open the page while I am at the page in Safari.
You need to use the "Develop" menu. This menu is normally hidden but is easy to put into the menu bar and just as easy to use.
1. First, open Safari's Preferences (under Safari in the menu bar).
2. Click the 'Advanced' tab (Icon on the far right).
3. At the bottom of the window is 'Show Develop menu in menu bar.' Check it.
Then the heading "Develop" will appear on the menu bar between "Bookmarks" and "Window"
The first choice under Develop is "Open Page With".
If you have another browser(s) installed on your drive you can open the problem page with one of them. You will still have Safari open and, once you're done at that page, you quit the other browser and carry on with Safari.
I have Firefox and Chrome installed on my drive. Their only purpose is to deal with pages that balk at Safari.