Someone out there has a sense of humour, since there's now an extension for Mozilla Firefox called Firesomething which chooses a random name for the browser every time you launch it or open a new window. So far I've had 'Fireworm', 'Spacelizard' and 'Moonpanda', and Asa, whom I found this through, has had 'Powergoat'.
You can also configure the names too, if you like - you could even called it Internet Explorer... (shudder)

I’ve got waterunicorn :D Nice for a Sunday morning!