Opera
Maybe Opera is the browser really needed here,as it has built in means of deleting all the junk files mentioned in the first post.
I quote:
"Opera includes a powerful feature for tidying up when you're finished browsing. The Delete private data menu does precisely that: it deletes all traces of your browsing. You can access the menu by selecting File > Delete private data.
Cookies
In many instances you may prefer to have cookies deleted.
Delete temporary cookies
Deletes cookies that were planted for a short period.
Delete all cookies
Deletes all cookies present in your system (including temporary ones).
Cache
In Opera's cache, files such as HTML documents and images are temporarily stored.
Delete password protected pages and data
Sometimes you will access pages that use some kind of password protection. Selecting this item will cause these pages to be deleted. Note that for your protection, secure pages, such as those you see when you visit an on-line merchant, will not be cached regardless of whether this option is set.
Delete entire cache
This option means what it says: you will delete the entire contents of your cache. It is essentially the same as the option available in the Preferences > History and cache box.
History
Browser's keep records of Internet addresses. With Opera you can easily delete this information.
Clear history of visited pages
This empties the history of visited pages -- the pages you will find listed in the history list.
Clear history of typed-in addresses
Whenever you type an address into a window's address bar or into the Goto document box, Opera records this. If you select the option here, all typed-in addresses will be deleted.
Clear history of visited links
Browsers normally store the addresses of sites you have visited so that visited links can be displayed in the "visited link" color (usually red or purple). Opera's option to clear this history deletes all entries in the visited-links list and will also prevent others from finding out when you recently visited sites in your bookmarks list.
Clear history of transferred files
If you have downloaded files you don't wish others to know about, enable this option. The files themselves will not be affected, but they will no longer appear in Opera's File transfer box.
Passwords
E-mail passwords may, depending on your settings, be stored in memory so that you can download new e-mail without retyping your password.
Clear all e-mail account passwords
This option clears your e-mail password(s). Bear in mind that your e-mail will not be affected. However, you will need to re-enter your passwords the next time you attempt to retrieve e-mail."
As you can see,privacy is well catered for in Opera,and again, it is widely regarded as far superior to IE.