Francis James Doonar (25 May 1909 – 6 October 1988) was an Australian rugby league footballer.

Doonar was educated at the Christian Brothers' School in his native Ipswich, Queensland.

A five–eighth, Doonar was known as a reliable player with a solid defensive game. He appeared regularly for Queensland, forming a halfback partnership with Fred Gilbert. His 23 interstate matches against New South Wales often came often opposite Vic Hey, his primary rival for a national team place. He got his opportunity to represent Australia on their 1933–34 tour of Great Britain and played his sole international match against England during a stopover in Paris. At club level, Doonar captained Ipswich clubs Brothers and Rialto.

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