We fabricated epitaxial exchange biased (EB) IrMn/FeGa bilayers by oblique deposition and systematically investigated their magnetization reversal. Two different configurations with the uniaxial magnetic anisotropy K u parallel and perpendicular to the unidirectional anisotropy K eb were obtained by controlling the orientation of the incident FeGa beam during deposition. A large ratio of K u /K eb was obtained by obliquely depositing the FeGa layer to achieve a large K u while reducing the IrMn thickness to obtain a small K eb. Besides the previously reported square loops, conventional asymmetrically shaped loops, and one-sided and two-sided two-step loops, unusual asymmetrically shaped loops with a three-step magnetic transition for the descending branch and a two-step transition for the ascending branch and biased three-step loops were observed at various field orientations in the films of both IrMn (t IrMn = 1.5 to 20 nm)/FeGa (10 nm) with K u ⊥K eb and IrMn (t IrMn 2 nm)/FeGa (10 nm) with K u ||K eb. Considering the geometries of anisotropies, a model based on domain wall nucleation and propagation was employed to quantitatively describe the angular dependent behaviors of IrMn/FeGa bilayers. The biased three-step magnetic switching was predicted to take place when |K u | > ε 90 • + K eb , where ε 90 • is the 90°domain wall nucleation energy, and the EB leads to the appearance of the unusual asymmetrically shaped hysteresis loops.