I lived now over a year in China. The following issues affected me:

Discrimination in housing
A few weeks having moved to a flat in Beijing, the landlord gave us notice to vacate the flat. Among other reasons stated, one was that me and my husband were seen giving each other a kiss on the CCTV camera for the building's lift. Neighbours would have complained about that.
There is no legal law to protect from this discrimination. While looking for a new place to live, we we about to rent a flat but when the landlady came to know we were going to share a double bed, she refused us suddenly without reasons. For our current tenancy we pretend to sleep in different bedrooms.

Discrimination in immigration
I am a student at a university in Beijing and therefore am granted a student visa with a full residence permit for one year. My husband came with me to China to find a job but had issues getting a visa. People with student visas are allowed to have their spouses registered as accompanying family members. We tried to apply for such a visa for him and issued the marriage certificate from the UK but were refused on the grounds that same-sex marriages are not recognized.