I'm having a really, really weird issue with one of the Windows 7 laptops in our office.
When it connected to our office network (either by WiFi or cabled connection), everything except browsing the web works fine. It can receive emails via Exchange, initiate VPNs, copy files, connect to network resources, it can ping websites (like google, etc), nslookupis fine. But if you open up a web browser, forget about it. Everything just times out.
If I connect the laptop to our guest network (which sits on an isolated vlan, but uses the same gateway as the office network), everything is fine (except obviously you can't access office network resources).
Sometimes the problem goes away after a restart, sometimes it doesn't. Sometimes it goes away on its own after 24 hours, sometimes it doesn't.
A wireshark trace looks like this:

A firewall trace looks like this:

The interesting thing here is that I'm attempting to connect to http://www.google.com.au directly (which is the home page of the browser). Its IP addresses are:
Name: google.com.au
Addresses: 74.125.237.159
74.125.237.152
74.125.237.151
These are not the IP addresses showing up in the firewall. The IP addresses in the firewall line up with www.google.com:
Name: google.com
Addresses: 74.125.237.128
74.125.237.137
74.125.237.132
74.125.237.134
74.125.237.133
74.125.237.135
74.125.237.131
74.125.237.129
74.125.237.142
74.125.237.130
74.125.237.136
wget looks like this:
C:\Users\mark.henderson>wget google.com.au --2012-05-18 08:49:39-- http://google.com.au/ Resolving google.com.au... 74.125.237.159, 74.125.237.152, 74.125.237.151 Connecting to google.com.au|74.125.237.159|:80... failed: Connection timed out. Connecting to google.com.au|74.125.237.152|:80... failed: Connection timed out. Connecting to google.com.au|74.125.237.151|:80... failed: Connection timed out. Retrying.
This is just really, really weird. It's isolated (at the moment) to just this machine, regardless of which network port or IP address it has. Any ideas?
wgettimes out; I've updated the question with the output. – Mark Henderson May 17 '12 at 22:50