Fan Created Star Trek and Science Fiction:...

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A very short and not very comprehensive list of of fan produced Star Trek-based shows, and the occasional original series production.

Star Trek Farragut
http://www.starshipfarragut.com/
US based production, also does an animated series.

Star Trek: Hidden Frontiers (HF Productions)
http://www.hiddenfrontier.net/
Also home to ST Odyssey, Helena, Henglaar, and original product Frontier Guard, https://www.youtube.com/user/FrontierGuard
Seven seasons of STHF, two seasons of STO and STH, Audio only Henglaar, MD (he's a Tellerite).
Strongly recommended.

Star Trek: Intrepid
http://www.starshipintrepid.net/
UK based crew.

Star Trek New Voyages / Phase II
http://www.startrekphase2.de/en/index.php
Fourth and Fifth seasons of Star Trek.

Star Trek Unity
http://www.startrekunity.com/
Pre-TOS are.

Project Potemkin
http://www.potemkinpictures.com/
Aging ship, oddball crew, vodka on the desk in the ready room.
Short (under 10-15 minute) episodes, with occasional full length episodes.

Star Trek Phoenix
http://www.stphoenix.com/
Very nice production values, one episode.

Star Trek Dark Armada
http://www.darkarmada.nl/
An interesting take on Star Trek from Europe.

Darker Projects
http://darkerprojects.com/
Not just Star Trek.  Doctor Who, Orginal sci-fi and horror. Audio only, downloadable MP3 files.
Very good and strongly recommended.