I will be in Shanghai on two occasions:

Hi, Anna
If you arrive at Shanghai on 22/12/18, you may have about 8 hours to take a visit in SH. You can take the Maglev and subway line 2 to Nanjing Road Pedestrian Street. The ride may take about 1 hour. Or you can choose to Disney Land by Maglev and subway and it is also about 1 hour’ ride. Return to the airport before 16:00.

If you arrive at SH on 05/01/19, you may have about 14 hours to take a visit in SH. You can take the Maglev and subway line 2 to Shanghai Science and Technology Museum, Oriental Pearl, Shanghai Aquarium and Nanjing Road Pedestrian Street. Return to the airport before 21:45.

Thank you Vivian for your reply :)
I meant to take only once Maglev train, just for the experience.
Would you recommend to take the tour buses too? How to organise it?
I would like to go to historical sites as well as business areas.
It would be nice to go to top of the tower to experience the view.
I'm not really into Disney Land or Aquarium.
Kind Regards,
Anna

Dear, you need to take the maglev at the airport to Longyang Road station. Then take the subway line 2 to Nanjing East Road Pedestrian Street, one of the busiest business areas and then, and the Bund building sites, which is very convenient and meet your demands.