Over the past several decades, extensive research endeavours in the field of crystal plasticity (CP) have led to the development of various Taylor-type homogenisation models enabling simulation of texture evolution during plastic deformation. This contribution provides a brief summary on the quality of deformation texture modelling under various boundary conditions. The crystallographic evolutionary patterns are discussed on the basis of grain interaction phenomena incorporated in the CP calculations. The annealing textures are successfully simulated by considering strain heterogeneities in the particle affected zone and by employing orientation selection during both nucleation and growth stages of recrystallisation. It is shown that the Lankford value profiles can be accurately reproduced by CP calculations on condition of reliable grain statistics. This paper is part of a Themed Issue on Aluminium-based materials: processing, microstructure, properties, and recycling.