I'm having the same problems. Downloaded the game today for my MBA 11 inch Mid 2013 (1.3 GHz Intel Core i5, 4 GB 1600 MHz DDR3, Intel HD Graphics 5000 1024 MB, 128GB SSD, OS 10.9.3).
Game played fine at first, got to my first night mission and started having large black blocks appearing and building segments repeated. Also having black rectangles replacing the player and enemy sprites, seemingly when they change animation state, but then back to normal graphics. Game keeps crashing out, either just hanging, refusing to respond to button clicks, or outright crash with error message (sorry, didn't catch it).
Such a shame as the game is awesome. I'd have happily sunk a fair few hours in today if it wasn't for the bugs. Ah well, as long as there's a working version coming down the line I don't mind my money going towards it.
