That's an easy one! ;-)
Almost no fan film competed with CBS, with ONE major exception: A fully independent, professional production, that gave way for the title of this thread. Alec Peters still argues, that Axanar got the lawsuit because of their competing quality.
Case closed, thread thankfully still open! ;-)
Continues was at the same quality and actually delivered, unlike Axanar. They just didn't create their own coffee, among other things.