Recently, RaGEX animation (a studio involved with Robotech Love Live Alive) released an anime inspired action short film called Third Faction Army on Kickstarter. The story takes place in a dystopian world where humans are struggling on a war against beastly invaders. Currently they reached $105 out of their $25,000 goal with 25 days remaining. For more details, check out their page and official website. Here's a trailer.
Official Website: http://www.ragexanimation.com/