I'd like to know the historic start of such a stereotype and how it expanded, if it is really something that comes from before and it's not just some internet phenomenon (which may be).
I'm linking these 2 web pages that speak about this myth:
I've also checked that at least the first five pages of results with the term "bad Asian drivers" in google seems to mostly show web pages that seem to comment about this myth, so it looks like it is expanded.
The phenomenon seems to be localized mostly in North America, mostly in the USA.
As time frame we can consider since the first Asians went to North America in a noticeable amount and cars where easily available for people (I guess around late 60's after the 1965 Immigration act) to nowadays.