How to remove your Windows Live account 
Note: a Windows Live account is now just called a Microsoft account. The account removal link remains the same, however. For the updated instructions, see: https://remove.org/site-item/remove-my-microsoft/
This link is different from the Live/Hotmail removal link, so check what you’re doing. By using this link, your complete account will be removed. If you wish to only terminate the e-mail account, look for Hotmail / Live on this site.
Direct removal link: https://account.live.com/CloseAccount.aspx
Helpful Trick: Removing online data
Publicly visible text/images often aren’t properly removed even when you succeed in removing an account. Try editing or removing them manually before removing the account itself. If you’re unsure what happens to your tracks: this can be found mostly in the Terms of Service/Privacy Policy; otherwise you can always contact Windows Live and ask personally. By the way, removal requests don’t necessarily mean your data will actually be removed (e.g. due to legal obligations).