FeedBurner's service allows users to subscribe to RSS feed content via email. Email subscribers get an email at a designated time on each day your blog is updated, either in the form of a single post or an email with multiple posts for more prolific blogs. You can remove yourself from a feed automatically or manually by the feed owner.
You can remove yourself from a feed's mailing list any time without interacting with the feed owner. Click the 'Unsubscribe Now" link located at the bottom of the email. If the content of the email is particularly long you may see "[Message Clipped]" followed by a link that reads "View Entire Message." Click the link to view the footer of the message and the unsubscribe link. The link will open a new window or tab. You'll be asked to confirm that you want to unsubscribe.
Removing a Subscriber
You remove a user manually from a Feed you manage on the FeedBurner page. Click the "Publicize" tab and select "Email Subscriptions" from the left sidebar. Located above the Save button on the bottom of the page is your basic subscriber data (i.e. "Total Subscribers: 20") and a link to "View Subscriber Details." Click the link to see the individual email address of each subscriber and choose the "Delete" button to the far right of the email address you want to remove.
FeedBurner provides the option on the Email Subscriptions page to receive an email every time someone unsubscribes from your feed. Enable this by clicking the check box beside this option (located directly above subscriber data) and saving your changes. This data will be sent to the "From" address set on the "Communication Preferences" page, located on the left sidebar below "Email Subscriptions."
Current Subscriber Data
Another option available to you on the Email Subscriptions page is to download a list of all your subscribers in a Comma Separated Values file. CSV files are supported for importing addresses in most email clients; it could also be used if you're switching to a new feed management software and want to manually move addresses from one service to another. Keep in mind that you're handling people's personal addresses; use them responsibly and ethically.