The article reviews the rapid evolution of magnetic domain wall (DW) research, particularly focusing on current-driven DW motion enabled by improved understanding of DW dynamics and the development of suitable ferrimagnetic thin films. It highlights the advantages of ferrimagnetic garnets (FMGs) in spintronics due to their low Gilbert damping and high magneto-optical constants. The review discusses the role of chiral Dzyaloshinskii-Moriya interactions (DMI) and magnetic damping in achieving high DW velocities in FMGs. Key experimental results and their broader implications on spintronics and fundamental physics are presented, including the observation of extremely fast DW response in compensated FMGs. The article also explores the potential of FMGs for ultrafast DW dynamics and emerging physics, such as the Lorentz contraction of DWs, which reveals new limitations and challenges. Finally, it outlines future directions in DW research, including advances in materials, new physics, and innovative device concepts.The article reviews the rapid evolution of magnetic domain wall (DW) research, particularly focusing on current-driven DW motion enabled by improved understanding of DW dynamics and the development of suitable ferrimagnetic thin films. It highlights the advantages of ferrimagnetic garnets (FMGs) in spintronics due to their low Gilbert damping and high magneto-optical constants. The review discusses the role of chiral Dzyaloshinskii-Moriya interactions (DMI) and magnetic damping in achieving high DW velocities in FMGs. Key experimental results and their broader implications on spintronics and fundamental physics are presented, including the observation of extremely fast DW response in compensated FMGs. The article also explores the potential of FMGs for ultrafast DW dynamics and emerging physics, such as the Lorentz contraction of DWs, which reveals new limitations and challenges. Finally, it outlines future directions in DW research, including advances in materials, new physics, and innovative device concepts.