The fan supported but professionally produced and acted independent Star Trek  film project Axanar has created a 21 minute short film :

To complete the full-length film, they are using crowd-funding to pay for the development in “discreet sections “. However, they may not need to break into many discreet sections considering that their current Kickstarter has tripled its goal with several days left : Star Trek: Axanar by Axanar Productions — Kickstarter.

(This item via Rick Boozer.)