The micro-cavity lasers support the ultra-low threshold and ultrahigh Q-factor, but several disadvantages impede further development, such as isotropic far-field profile pattern and low optical power output. To overcome the intrinsic problems, several deformed structures were proposed and investigated. In this paper we present directional emission micro-cavity lasers with limason-shaped, triangle-shaped, and ellipse shaped cavity structures. In experiment, mid-infrared InGaAs/InAlAs quantum cascade material was employed to fabricate these micro-cavity lasers, due to its advantages of lack of surface recombination, and inherently in-plane with transverse magnetic (TM) mode emission. The micro-cavity lasers with different device structures were operated and compared at room temperature, and a higher output power was also achieved by increasing the device structure size.