You might like to add a list of your previous email campaigns to your website, we call this the list campaign archive, to find your campaign archive:
Click on Lists > Lists, click on the list name, then click on “Pages & messages”, then click on “Campaign Archive”
You will see links to view your campaign archive in various formats.
You could simply link to the archive page URL.
Or you could ask your web developer to embed the RSS, ATOM or JSON feed.
If you use WordPress you could use one of these plugins to import the RSS feed: