Visiting Shanghai - what to do with a day or 2 to myself

[polyhistoric]

A query for our more well-travelled forumites. I will be in Shanghai for a week; 5 days of that will be filled with work.

Apart from some of the usual suspects (Yu Garden, various Temples), anything of note for a discerning cyclist, coffee snob, etc., to take in?

Trying to avoid the tourist junk (don't need electronics or "replica" items") and prefer off the beaten path art and culture.

Don't know that I'll get time to ride a bike, but anticipate a good amount of walking around and taking it in.