On Windows 7 I had to remove IE11 and then then the IE11 update around 12/10/13 (spefically says for Internet Explorer) also before the birt parameter page returned. To uninstall IE11, you must use "Turn Windows Features on and off" under "Uninstall a program"
I still can't get the dialog to work under Windows 8.1
So glad I found this post. I'm running BIRT 4.2 and this problem coincides with upgrading my Office license.
I tried adding the suggested parameters to the eclipse.ini file but it didn't have any effect (even after a restart).
Uninstalling IE11 has resolved the problem and my parameter dialog box now displays again