This paper develops hybrid non-orthogonal multiple access (NOMA) assisted downlink transmission schemes for single-input single-output (SISO) and multiple-input single-output (MISO) systems. For the SISO scenario, a novel hybrid NOMA scheme is introduced, where NOMA is implemented as an add-on to a legacy time division multiple access (TDMA) network. Analytical results are derived to reveal important properties of downlink hybrid NOMA, such as the outperformance of hybrid NOMA over TDMA when users' channel gains are ordered and time slot durations are the same. For the MISO scenario, near-field communication is considered to illustrate how NOMA can be integrated into legacy networks based on space division multiple access (SDMA) and TDMA. Simulation results verify the developed analytical findings and demonstrate the superior performance of downlink hybrid NOMA compared to conventional orthogonal multiple access (OMA). The key contributions include the design of downlink hybrid NOMA transmission schemes, the analysis of their properties, and the verification through simulations.This paper develops hybrid non-orthogonal multiple access (NOMA) assisted downlink transmission schemes for single-input single-output (SISO) and multiple-input single-output (MISO) systems. For the SISO scenario, a novel hybrid NOMA scheme is introduced, where NOMA is implemented as an add-on to a legacy time division multiple access (TDMA) network. Analytical results are derived to reveal important properties of downlink hybrid NOMA, such as the outperformance of hybrid NOMA over TDMA when users' channel gains are ordered and time slot durations are the same. For the MISO scenario, near-field communication is considered to illustrate how NOMA can be integrated into legacy networks based on space division multiple access (SDMA) and TDMA. Simulation results verify the developed analytical findings and demonstrate the superior performance of downlink hybrid NOMA compared to conventional orthogonal multiple access (OMA). The key contributions include the design of downlink hybrid NOMA transmission schemes, the analysis of their properties, and the verification through simulations.