The ability to assess the perfusion territories of major cerebral arteries can be a valuable asset to the diagnosis of a number of cerebrovascular diseases. Recently, several arterial spin labeling (ASL) techniques have been proposed to obtain the cerebral perfusion territories of individual arteries according to three different approaches: (1) using a dedicated labeling RF coil; (2) applying selective inversion of spatially confined areas; or (3) employing multi-dimensional RF pulses. Methods that use a separate labeling RF coil have high SNR, low RF power deposition and unrestricted 3-dimensional coverage, but are mostly limited to separation of the left and right circulation, and do require extra hardware, which may limit their implementation in clinical systems. Alternatively, methods that utilize selective inversion have higher flexibility of implementation and higher arterial selectivity, but suffer from imaging artifacts resulting from interference between the labeling slab and the volume of interest. The goal of the present review is to provide the reader with a critical survey of the different ASL approaches proposed to date to obtain cerebral perfusion territories, by discussing the relative advantages and disadvantages of each technique, so as to serve as a guiding resource towards future refinements of this promising methodology.