Deleting a list in E-goi is quite simple.
1) Click the "Lists" menu and you'll be shown a page with all your contact lists.
2) Click the blue options button to the right of the list you want to remove, choose "Delete" and confirm you want to go ahead and erase it. Done!
However, please note that if you've recently sent a campaign to the list you want to remove, it won't get deleted. You can only delete it about 30 days after that campaign has been sent out. This is to make sure that the contacts you mailed have enough time to unsubscribe or edit their subscription (they can't do so if the list is deleted).