Korea has many startups.
There's rumors of a startup scene in China. /S
Greater China has lots:
HK (tho not a country in itself, but a special region of China) has some. Republic of China Taiwan has lots.
Singapore has a huge amount.
There's also a lot of people doing more "craft based" or "small business" startups in all those areas, such as cafes, organic or urban farms, manufacturing of various kinds.
Tho that is not the same as VC funded tech startups, some of these things do go that way. There's lots of delivery and gig economy startups. Lots of payment startups. Much of the innovation in social and payment that occurred in the last 6 years has been lifted out of East Asia and copied by startups everywhere.
A good resource for "out of the Anglosaxon / SV" bubble is TechInAsia.
https://www.techinasia.com/
The interesting thing about reading startup perspectives in Asia, is they are very aware of what happens in SV. An awareness that doesn't, unless you are an analyst at one of the big international VCs, go both ways.
Also interesting to note the culture in these places around entrepreneurship, it's very normal for people to consider having their own business. HK has one of the highest "company per capita" rates in the world, tho surely some of that is due to its special economic statuses. I don't know as much about other East Asian cultures, but ethnic Chinese culture is very "entrepreneurial", as in, many people have shops and businesses of various kinds. At least to me it seems to be an acceptable or desirable thing to do at a higher rate than the traditional Anglosaxon culture I also spent a lot of time in.