Yeah, I know I said I wanted to get away from the Big Three of fan film inspirations, but this one is rather interesting. It's a CGI episode stitched together and animated from random bits of original dialog, and completed over three years while the animator was struggling with lymphatic cancer.
Personally, I think the figures are kinda creepy-looking, and the script feels a bit flat and forced, but I have to give a lot of credit to the guy (who goes by the name Robert England) for what he's put together. As he says in his description, he has a copy of some original dialog, and with a lot of cutting and editing, he created lines for characters that were never actually spoken.
As a bonus, there's an animated interview with Kirk and Spock, where Spock corrects the Captain on his famous split infinitive. The sound texture is a little...off, shall we say...owing to the Frankenscript nature of the soundtrack, but in spirit, it's rather amusing.
They could do all those still-lost "Doctor Who" episodes this way.