http://www.startrekcontinues.com/ is a fan production based on the original series, picking up directly after the end of Turnabout Intruder. They are allowed to use copyright elements as long as they don't make money, and they use the original music to full effect. The production values are excellent - the sets, effects, and costumes are flawless - although the casting and acting are, predictably, wincingly bad in many places. The story lines and scripts are fairly good and firmly anchored in the original universe.
The main appeal of this show for me, however, is the performance of the Kirk actor, Vic Mignogna, who also does everything from executive producer to incidental music composer. He has caught Shatner in a bottle. Every mannerism, facial expression, movement, and nuance faithfully executed to a degree that prompts thoughts paralleling various movie plots of obsessive mimicry. Squint and you can think you're watching the real thing. It's a pity that the actors for Spock and McCoy aren't up to snuff because the troika chemistry will never come back, but every scene that centers on Kirk alone is like having an old friend to visit.