Let's use this corner of the forum to share websites with useful SHANGHAI-specific information. Here's one to start: the City Weekend event guide for Shanghai. City Weekend is a weekly publication in English that you'll find at hotels, etc. frequented by expatriots. It's free and sometimes insightful. From the event guide you can read most of the articles online.
http://www.cityweekend.com.cn/en/shanghai
A lot of the things they list are for well-paid business people and often seem western-centric. Still, they list art galleries, new movies, museum exhibitions, and performances that will take you into the life of one of the world's great cities. You can also sign up for a weekly email summary.