None are the complete paper and none have backfiles that predate mid 1995. They are generally published for the diaspora community not the academic community although some have search engines available. I am not aware of any coordinated effort to electronically archive them. An important component of access is the availability of indexing. For South Asia, it is spotty at best.
Some partial indexes are available, primarily for Indian titles.
An abstracting service, the Asian recorder, which has been published fortnightly since 1955 with quarterly and annual indexes can be used to partially access Indian papers. The Indian press index covered a larger number of titles in some depth but has not been published since 1986. The Times of India began supplying an index with its microfilm subscriptions only in recent years. There is no equivalent to the Times or New York Times indexes which cover the entire run of the newspaper. Current indexing for newspapers from the other countries of the area and for vernacular papers from India is virtually non existent.