The rise of Kickstarter has actually meant creators have had to formulate at least some semblance of a 'trailer' to put on their page and to be fair there are some publishers who at least dip their pinky toes into the board-game-trailer pond. Fantasy Flight Games are maybe the go-to folk as far as a major player goes.
Closer to home - I have a growing number of sketches for yet another game concept filling up my sketch book along with mechanics etc and I think it would be a fun exercise to complete the game and then to create the digital assets for a trailer that shows off the game before we get into gameplay tutorials etc. This should even sit very nicely in a grad project (looks away sheepishly then plays with the carpet with toe of shoe)
Anyhow, back to board-game-trailers - I think the environment is ripe for such things. Gamers are a little geeky and doubtless can be found on their computers and tablets alot. They hang out on gaming sites or might shop online for something. Even people who rarely if ever game may be taken in by a nice trailer - even a blatent advert may work. There were once ads for Trivial Pursuit, Atmosfear and co, but I will ignore those for kids games like Hungry Hungry Hippos or Jenga.
Since the landscape of board game trailers is a little thin, I thought I might just link in a few that set the (not very high or at least highly variable) benchmark for such things at the moment - maybe I can help lift the standard soon...