No one can see your checkout history, including us. The Library sees only current checkouts and holds, as well as items that incurred fines.
However: items you add to Lists and Shelves are public unless you make them private.
When you add items to shelves, they are visible to the public unless you make them private. Also note that any item you comment on, rate, tag or summarize is automatically added to your Completed shelf.
To make items automatically private or public:
To check or change the privacy of individual items:
Your Profile is a public page. Everyone can see:
If you don't add content like comments and Lists, it's unlikely that others will find your profile. But if you want to ensure more privacy and anonymity...