Since the major players in the browser makers have put in a lot of emphasis on security, it is important to see the security features in the new browser from Google called "Google Chrome".
1) Privacy Mode
Chrome has a privacy mode; Google says you can create an “incognito” window “and nothing that occurs in that window is ever logged on your computer.” The latest version of Internet Explorer calls this InPrivate. Google’s use-case for when you might want to use the “incognito” feature is e.g. to keep a surprise gift a secret.
2)Web apps can be launched in their own browser window without address bar and toolbar.
3) To fight malware and phishing attempts, Chrome is constantly downloading lists of harmful sites. Google also promises that whatever runs in a tab is sandboxed so that it won’t affect your machine and can be safely closed. Plugins the user installed may escape this security model, Google admits.
For more info, look at this blog entry at blogoscoped.
Apart from the Privacy mode, I think the modern browsers are making an honest effort at fighting phishing and malware.