This article reviews recent advances in current-driven domain wall (DW) motion in magnetically compensated systems, with a focus on ferrimagnetic garnets (FMGs). Magnetic domain walls are boundaries between regions of uniform magnetization in magnetic materials and are crucial for spintronic applications. Current-driven DW motion, enabled by spin-transfer torques (STTs) and spin-orbit torques (SOTs), allows for precise control of DWs, which is essential for memory, logic, and data processing. The study highlights the rapid evolution of DW research, particularly in ferrimagnetic materials, and discusses the role of DMI and magnetic damping in achieving high DW velocities. The article discusses the advantages of FMGs, which are a class of ferrites with low Gilbert damping and high magneto-optical constants. FMGs have a chemical structure of A3Fe5O12, where the A-site can be a nonmagnetic or magnetic element. The ferrimagnetic structure of garnets contains two magnetic sublattices, with two octahedrally coordinated Fe³+ and three tetrahedrally coordinated Fe³+ coupled antiferromagnetically. The magnetic properties of FMGs can be significantly influenced by the choice of A-site element, allowing for tuning of net magnetic moment, angular momentum, anisotropy, and DMI. Recent studies have shown that FMGs can achieve ultrafast DW motion with velocities exceeding 6000 m/s, which is much faster than in conventional ferromagnets. This is attributed to the reduced angular momentum and the ability to suppress precessional dynamics. The article also discusses the role of perpendicular magnetic anisotropy (PMA) in enabling efficient SOT-driven DW motion and long data retention in spintronic devices. The use of ultrathin FMG films, grown via techniques such as pulsed laser deposition and molecular beam epitaxy, has enabled the engineering of material properties for fast DW dynamics. The study highlights the potential of FMGs for spintronic applications, including in-memory computing and neuromorphic devices. It also discusses the challenges in achieving high DW velocities, such as high energy consumption and poor device performance, and the need for further research to overcome these limitations. The article concludes with a discussion of future directions in DW research, including the exploration of new materials, the development of innovative device concepts, and the integration of FMGs into advanced spintronic systems.This article reviews recent advances in current-driven domain wall (DW) motion in magnetically compensated systems, with a focus on ferrimagnetic garnets (FMGs). Magnetic domain walls are boundaries between regions of uniform magnetization in magnetic materials and are crucial for spintronic applications. Current-driven DW motion, enabled by spin-transfer torques (STTs) and spin-orbit torques (SOTs), allows for precise control of DWs, which is essential for memory, logic, and data processing. The study highlights the rapid evolution of DW research, particularly in ferrimagnetic materials, and discusses the role of DMI and magnetic damping in achieving high DW velocities. The article discusses the advantages of FMGs, which are a class of ferrites with low Gilbert damping and high magneto-optical constants. FMGs have a chemical structure of A3Fe5O12, where the A-site can be a nonmagnetic or magnetic element. The ferrimagnetic structure of garnets contains two magnetic sublattices, with two octahedrally coordinated Fe³+ and three tetrahedrally coordinated Fe³+ coupled antiferromagnetically. The magnetic properties of FMGs can be significantly influenced by the choice of A-site element, allowing for tuning of net magnetic moment, angular momentum, anisotropy, and DMI. Recent studies have shown that FMGs can achieve ultrafast DW motion with velocities exceeding 6000 m/s, which is much faster than in conventional ferromagnets. This is attributed to the reduced angular momentum and the ability to suppress precessional dynamics. The article also discusses the role of perpendicular magnetic anisotropy (PMA) in enabling efficient SOT-driven DW motion and long data retention in spintronic devices. The use of ultrathin FMG films, grown via techniques such as pulsed laser deposition and molecular beam epitaxy, has enabled the engineering of material properties for fast DW dynamics. The study highlights the potential of FMGs for spintronic applications, including in-memory computing and neuromorphic devices. It also discusses the challenges in achieving high DW velocities, such as high energy consumption and poor device performance, and the need for further research to overcome these limitations. The article concludes with a discussion of future directions in DW research, including the exploration of new materials, the development of innovative device concepts, and the integration of FMGs into advanced spintronic systems.