Crystal plasticity (CP) models are increasingly used in scale-bridging applications to obtain microstructure-sensitive mechanical response of polycrystalline materials. These models require a proper consideration of the single crystal deformation mechanisms, a representative description of the microstructure, and an appropriate scheme to connect the microstates with the macroscopic response. Owing to its image processing lineage, Fast Fourier Transform (FFT)-based methods, originally proposed at the turn of the century for composites [1] and extended to polycrystals (the most recent formulation, including non-local large-strain elasto-viscoplasticity reported in [2]) are attractive due their higher efficiency compared with CP-Finite Elements, and their direct use of voxelized microstructural images. In this talk, we will report recent progress on FFT-based polycrystal plasticity, with emphasis in novel implementations, including large-strain thermo-elasto-visco-plasticity, strain-gradient plasticity, creep, and dynamic effects. We will show applications of these methods to: micromechanics of nano-metallic laminates, creep of steels, deleterious effects associated with cyclic heating of copper, integration with 3-D characterization methods, and use for training and validation of machine-learning methods. [1] Moulinec, H., Suquet, P., A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computational Methods in Applied Mechanics and Engineering 157, 69–94 (1998). [2] Zecevic M., Lebensohn R.A., Capolungo L., Non-local large-strain FFT-based formulation and its application to interface-dominated plasticity of nano-metallic laminates. Journal of the Mechanics and Physics of Solids, 173, 105187 (2023).