Variations of modified E-shape microstrip antennas are proposed which realize wideband and circularly polarized responses inside the same impedance bandwidth but in separate frequency regions. The offset pair of slots in E-shape patch tunes the spacing in between TM 02 , TM 10 , and TM 11 mode frequencies, and for the design in 900 MHz frequency band, it yields the total impedance bandwidth of 34.15%, in which circularly polarized bandwidth of 4.75% is present towards the higher frequency region. In comparison with the wideband E-shape or its circularly polarized variation, the proposed configurations yield larger total impedance and same axial ratio bandwidth, but without overlapping bands for the wideband and circularly polarized regions. A compact half E-shape microstrip antenna is proposed, which yields total impedance bandwidth of 38.8%, with a circularly polarized bandwidth of 5.3%, present towards the higher frequency region. Further, the wideband E-shape variations are presented on a thinner substrate by using a bow-tie shape ground plane profile. Against the conventional ground plane design, it offers more than 12% increase in the bandwidth for 0.03λ g reduction in the substrate thickness. Thus, as against the reported E-shape variations, the proposed study presents a new design feature of traditional E-shape patch that provides separate regions for the wideband and circularly polarized responses, occupying the same impedance bandwidth.