If you want a cheap flight from Birmingham to Shanghai, you've got zero airlines to choose from.
Shanghai Hongqiao Airport is just one of the airports in Shanghai. If you're not set on a specific airport, try changing your search from Shanghai Hongqiao Airport to Shanghai to see a broader range of flights – they might be cheaper.
The cheapest month of the year to fly to Shanghai is February.
July tends to be the most expensive time of the year to fly to Shanghai. During this peak season, accommodation prices often increase too, so it's best to book early. Or you could keep your fingers crossed and hold out for a last-minute deal.