Learning efficiently from small amounts of data has long been the focus of model-based reinforcement learning, both for the online case when interacting with the environment, and the offline case when learning from a fixed dataset. However, to date no single unified algorithm could demonstrate state-of-the-art results for both settings.In this work, we describe the Reanalyse algorithm, which uses model-based policy and value improvement operators to compute improved training targets for existing data points, allowing for efficient learning at data budgets varying by several orders of magnitude. We further show that Reanalyse can also be used to learn completely without environment interactions, as in the case of Offline Reinforcement Learning (Offline RL). Combining Reanalyse with the MuZero algorithm, we introduce MuZero Unplugged, a single unified algorithm for any data budget, including Offline RL. In contrast to previous work, our algorithm requires no special adaptations for the off-policy or Offline RL settings. MuZero Unplugged sets new state-of-the-art results for Atari in the standard 200 million frame online setting as well as in the RL Unplugged Offline RL benchmark.