You can add your campaigns to your website as feeds. When they're clicked on, the visitor will be able to view your campaign as if they had clicked a 'View in browser' link within your email.
Create a campaign feed
To add a feed, expand the User menu, then go to Settings > Email > Feeds.
The second section provides the markup for your campaign feeds' settings and style, all of which you're able to choose for yourself.
Select the number of campaigns you wish to have available by using the Number of campaigns dropdown. This will select the most recent, so if left at the default of 12, then the 12 most recent campaigns would be displayed. If you don't want the date of the campaign to be displayed, then uncheck the 'Show date sent' box.
You can also apply a tag to the feeds that are displayed. Tags are set up on the Campaigns screen and are a method by which you can group your campaigns together.
Use the Tag dropdown to select the tag you wish to use.
If you use a tag then the number of campaigns displayed will relate to that tag, for example, if you had the number set at 12 and selected a tag called 'Newsletters' as shown in our example above, then the 12 most recent 'Newsletters' would be displayed as feeds.
Once you have selected all your options, the markup at the bottom of the screen will reflect your choices. Simply copy and paste this, along with the first section of markup (which allows the feeds to display), into your web page.