Just posting as a matter of interest as we've never had this sort of e-mail before and were impressed.
Was recently browsing on a site where I had purchased and registered before.
Didn't sign-in (maybe didn't sign out on last visit?) or add to cart but a little while later had an e-mail from them, along the lines:
"Can we help? We noticed you've been on a little browsing spree! We just wanted to check if we can help in any way. Please reply to this e-mail if you have any queries. Alternatively, click the product link below to continue where you left off."