The present invention provides uniaxially oriented films and packages formed from such films. In one aspect, a uniaxially oriented film comprises (a) a first layer including (i) a first composition including an ethylene-based polymer prepared in the presence of a single-site catalyst, wherein the first composition has a density of 0.935 g/cm3 to 0.965 g/cm3, a melt index (I2) of 0.5 to 6 g/10 minutes, and a MWD of 6.0 or less, and (ii) a Ziegler-Natta catalyzed ultra low density polyethylene having a density of 0.880 g/cm3 to 0.912 g/cm3, a melt index (I2) of 0.5 to 6 g/10 minutes, and a MWD of 6.0 or less, (b) a second layer including at least one polyolefin, and (c) at least one inner layer between the first layer and the second layer including a high density polyethylene. The film is oriented in the machine direction at a draw ratio of between 4:1 and 10:1, and can exhibit a machine direction 2% secant modulus of 85,000 psi or more when measured as per ASTM D882.