Yikes - IE 8 really crashes. Here's the console output from IE9 developer tools when changed into IE8 Standards mode:
SCRIPT438: Object doesn't support property or method 'indexOf'
github-badge.js, line 59 character 7
SCRIPT438: Object doesn't support this property or method
badge.js, line 47 character 7
SCRIPT438: Object doesn't support property or method 'getElementsByClassName'
embed.js?pname=wordpress&pver=2.61, line 35 character 78
SCRIPT438: Object doesn't support property or method 'getElementsByClassName'
embed.js?pname=wordpress&pver=2.61, line 35 character 78
So, hopefully that gives you a starting point. The IE9 developer tools are much improved over previous iterations.
Interestingly enough, when I switched it into IE7 mode, only the first two errors appeared.