These are fanfictions that I like and recommend others read. Also some fanvideos here and there, or whatever else I find.

Star Trek:

Gen:

Kirk/Spock:

The Ship’s Closet
Video series explaining the canon behind Kirk/Spock
Awesome, but watch out for the sound the theme is loud but the actual show part is quiet.
‘Verse: Star Trek TOS (she might do something for the reboot eventually.) 

AnalyzationCommentary of TOS for KS
Made by the same person as The Ship’s Closet, this text series shows Kirk/Spock evidence episode by episode. Perfect for people like me who needs everything pointed out (I’m pretty dense, ha.) Also funny commentary. 
‘Verse: Star Trek TOS (she plans to do the reboot movie as well.)