While any browser can be used for viewing a WordPress website, I have found that Google Chrome, Firefox and Safari (Mac users) are probably the best for editing a site.
The main issue lies around Microsoft Internet Explorer and it’s various versions which have never really fully followed the web standards.
If you are experiencing any issues editing a site, first make sure you are not using Internet Explorer.
If you follow the video tutorials I have placed on this site, there are some of the steps which will not always reliably work with Internet Explorer 8,9, 10 & 11.
You can download Firefox here: https://www.mozilla.org/en-GB/firefox/new/
You can download Google Chrome from here: http://www.google.com/chrome/