Farsley beat nine-men South Shields at Throstle Nest, while Whitby won at relegated North Ferriby United.
In contrast, Lancaster City joined Basford United, who played 24 hours earlier, in being win-less from their first two games of 2018-19.
To read the full EVO-STIK League round-up on matchdays from Non League Today and the latest news from across Non-League visit http://news.forwardsport.co.uk/news/details.php?news_id=1581.
Images courtesy of Non League Today & @evostikleague/Twitter
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