First, a word about the name of the place, not very Chinese, Lufthansa. Actually you are right, but the name of the German airline is often used to describe this place, at last among expatriates. They have chosen the name of the large shopping mall there, the Lufthansa center. Except for the airlaine office inside the building, it is one of the oldest shopping malls in Beijing with all the hugh end foreign luxury brands. It used to drive a crowd looking for these oods, nbow this kind of shopping ùall is much more common in Beijing, but still, this is a common landmark.
The real name of this important location is Liangmaqiao, the bridge of the lightning horse. The area is important as the main diplomtic area in Beijing nowadays. Most of the embassies were once ocated in Sanlitun, but they moved to this place. The current embassies there incluse those of the United States, Japan, South Korea, Israel, France, Qatar, India, Malaysia…
The district is very compartimentalized due to the building of these embassies, security measures imply blocked streets, dead ends, and often you have to make large detours to get from point A to point B. It is being nevertheless developed and you have some attractive places here.
About shopping, in addition to the Lufthansa center just mentioned above, you have the Solana shopping mall, a place with dozens of nice restaurants, shops and a good place for leisure. The Lady street, or Nuren Jie is a funny place to buy clothes in the area and the Laingmaqiao flower market is famous all around Beijing.
Note that the German School and the Canadian School are located there.
Here are suggestions about the best places to live there if you are looking for an apartment.
Most of the best places are on the Liangma Road:
Beijing Garden 北京花园,
Four Seasons 四季世家
Liangmaqiao DRC 亮马桥外交公寓
Guang Ming Apartments 光明公寓.
Landmark Palace 亮马名居,
Concordia Plaza 嘉和丽园,
Somerset Fortune Garden 福景苑
US United Apartments US 联邦公寓,
At the north of Liang, the Xiaoyun Road offers some very good compounds to rent an apartment:
Ocean Express 远洋新干线
No. 8 Palace 霄云里八号
No. 8 Royal Park 霄云路八号
For more details, have look here with liks to descriptions.