This upscale mall is good for homewares from Japanese designers. Check out the Cover Nippon (gorgeous and gallery-like) and Wise-Wise (clever designs and easier on the wallet), both on the 3rd floor of the Galleria section.
The Suntory Museum of Art is also here. Behind the complex is Hinokichō-kōen. Formerly a private garden attached to an Edo-period villa, Hinokichō was reopened as a public park. The adjacent Midtown Garden is a cherry-tree-lined grassy space that makes a perfect spot for a picnic; events such as free yoga classes are sometimes held here.