Star Trek Continues is a fan fiction funded by Kickstarter.  The first 3 episodes produced last year as the result of a $100,000 ask (with $126,028 raised).  The first three episodes feature all the original series cinematic features.  The lighting, sound effects, character quirks, and above all else the stories all remain true to the original series.

They’ve started another campaign to yield more episodes.

https://www.kickstarter.com/projects/trekcontinues/star-trek-continues-2015-kirkstarter-20

As of this writing, they have $87,000 of $100,000 needed to produce two new episodes with 24 days left in the campaign.  But even if they get $100,000, there is still an incentive to contribute.  They list several ‘stretch goals’  which, for example, will allow them to visit (beam) to planets with disposable red shirt crewmen in tow to suffer agonizing deaths inline with the original Star Trek canon.

Gene Roddenberry’s son can attest to the authenticity and quality of this fan based series:

“I do have to say — and I said this after ‘Lolani’ — I’m pretty damn sure my dad would consider this canon. The fact that you do stories that mean something, that have depth, that make us all think a little bit… I really think he would applaud you guys. And I applaud you guys. And as far as I am concerned, it is canon. So thank you.”

If you’d like to see more, they have a youtube channel:

https://www.youtube.com/user/StarTrekContinues

And here are the 3 episodes produced in 2014: