Various coding schemes based on lifting implementation of the discrete wavelet transform applied along motion trajectories have recently gained a lot of interest in video processing community as strong candidates to succeed current state-of-the-art hybrid coders. Still, there are a number of very important issues, including the choice of particular wavelet transform and motion model, that have significant impact on the overall coding performance and will determine usefulness of this class of coders. In this paper, we classify and discuss different motion/transform configurations that are being used in motion-compensated lifting-based wavelet transforms. Our results show that coder performance changes significantly for different combinations of motion models and transforms used.