<p>Neural Video Representations (NVRs) have recently been proposed as a novel approach to the video compression problem. NVRs consist of one or multiple small neural networks that are overfitted on one specific video sequence, thereby encoding the video within the weights and biases of the network(s). In contrast to other learned video coding approaches, NVR-based codecs do not rely on large datasets and can achieve lower decoding complexity by using compact, video-specific models instead of large shared encoder-decoder architectures. Many works have focused on improving the compression performance of NVR-based codecs by enhancing the overall codec design, devising more performant and parameter-efficient model architectures, and incorporating more advanced model compression schemes such as weight pruning, quantization, and entropy minimization. We provide a systematic overview of representative work in the field and discuss common weaknesses and opportunities for future work, with a focus on practical deployment for video streaming. This paper serves as both an introduction for newcomers and a reference for existing researchers, highlighting the potential of neural video representations as an alternative to traditional codecs in video compression.</p>