In order to meet the challenges of the design of printed microstrip Yagi antenna arrays with quasi-endfire radiation (radiation between broadside (θ=0º) and endfire (θ=90º)) that can achieve a high gain (> 12 dBi) while maintaining a low cross-polarization and a high F/B ratio, two new designs are proposed in this letter, which are derived from the microstrip Yagi array presented in [3]. The first structure is called the microstrip bi-Yagi array and the second is called the microstrip quad-Yagi array. The microstrip bi-Yagi and quad-Yagi arrays can achieve gains of 13.0 and 15.6 dBi, respectively, while a high F/B ratio is maintained. These qualities are essential to the design of planar antenna geometries that require high gain, quasi-endfire radiation patterns with F/B ratios around 8-10 dB that can alleviate propagation loss effects through line-of-sight reception of waves at angles off broadside for applications such as wireless video transfer, mm-wave ad-hoc sensor networks, and point-to-multipoint wideband links.