Temple of Heaven, and Summer Palace. These can be done by taxi at reasonable cost. Also a one day trip to the Wild Wall (non-touristy part of the Great Wall) and Ming Tombs is very popular with private car.
There are other places such as hutong tour (traditional alley and street life), modern art area '798', museums and the municipal planning exhibition. The blog posts over the past few years also show the variety of things you can see in Beijing and surroundings. We are very flexible, and can discuss and customise a program based on your particular interests, putting in as much or as little in one tour as you like.
We can of course also give recommendations on the best places to eat, there is such a huge range now from very cheap local restaurants with food from all over China (and the world!), and also fine dining Michelin star restaurants.
We also arrange night tours which can include a show (acrobatics or kung fu or Beijing opera), Olympic sites at dusk,
a night food market and visits to local spa/massage and/or bars (Weekends are the best times for the bars).
For the more adventurous, there are several interesting possibilities around Beijing such as Chengde (Imperial Resort),
Tianjin, Pingyao (UNESCO World Heritage Site), and Xian (terracotta warriors) where we have standard 2 and 3 day packages. Further afield, we can arrange a visit to Xinjiang for an Old Silk Road tour.
I hope you choose ChinaMango. We offer value for money, understand your needs, are up-to-date on what's happening on the scene, and do not waste your time in factory visits or tourist shopping, unless requested. Do feel free to contact me on firstname.lastname@example.org for further information and rates.