Most Chinese apartments come furnished, at least in Beijing. You have to negotiate with the landlord if you want to use your own furniture. I’ve never had an apartment in Beijing that didn’t have a washer machine. No dryer of course, and these are cheap washer machines, you could buy one yourself for 1k RMB or so, well 20 years ago you could.
Singapore, Hong Kong and Taiwan was all fully furnished. Most property sites have an option to filter for that.
Also there are a lot of service apartments available too!