There is a solution in Safari, which can change its user agent string. This is information sent to a website to tell it what type of computer and browser you are using. By sending the user agent string for Internet Explorer, your Mac can sometimes fool a site into working through Safari.
To do this, you need to close Safari if it is already open, then open the Terminal and type in:
defaults write com.apple.Safari IncludeDebugMenu 1
Next time you run Safari, there will be an extra menu titled Debug. Under User Agent, you will be able to select other browsers. This will be active until you either change it back, or close Safari.
Bear in mind there is no guarantee this will work effectively on all sites. It’s probably safest not to do this on secure sites where you are typing in confidential information as it’s possible security measures might not work as designed.