So, here's a list of the most popular secondary search engine results that show up at Alexa.com's links in:

nova.rambler.ru
m.sogou.com
int.search.myway.com
search.charter.net
findeen.co.uk

You just gotta figure out how to get your site to show up in search results, then hope Alexa includes them in your site's links in.

I am looking for more secondary engines with high Alexa ranking, 'cause that is the ranking system I am using.