How to contact Apple about connection issue on bugreport.apple.com?
I tried connecting with Safari (6.0.2), and it wasn't working:
When using Chrome (versions 15 & 25), I am asked to sign-in using my Apple ID on this page: http://bugreport.apple.com/
I have no problem at all:
Make sure you are using the latest update of your browser. Or use a different one such as Opera, Firefox, etc.
Take note of this, from the page, where you enter your Apple ID credentials:
Note: Safari is the suggested browser for use of the Bug Reporter. JavaScript and Cookies must be enabled to access the Bug Reporter. Idle time to disconnect is 120 minutes.
If you have tried with different browsers, and it still doesn't work. I suggest you try repairing disk permissions in your disk utility, if you are on a Mac.
If it still does not work, try downloading the newest Safari, and reinstall it. You can also try this link to the login-page.
Have you tried the form on this page: Bug Reporter Connection Problems - Apple Developer?