I was specifically talking about vegetarianism. It started very prominently in India due to the Buddhist and Jain influence, at least since 300 BC. The most famous early Indian text which promotes vegetarianism is Thirukkural (1), which is suspected to be a Jain work. It was news to me that vegetarianism did make its way to the far east along with other Buddhist teachings.
(1) https://en.wikipedia.org/wiki/Tirukku%E1%B9%9Fa%E1%B8%B7