Brillouin scattering is a coherent interaction between photons and acoustic phonons that takes place over a broad range of wavelengths and in a number of technologically important platforms. It is of major significance because it is a fundamental limit in lasers and optical communication systems but it can also be the basis of a powerful tool for signal processing, sensing and fundamental studied. I will review recent progress in achieving Brillouin scattering in integrated waveguides, covering key concepts such as acoustic confinement, methods for calculating and measuring opto-acoustic coupling and the Brillouin gain, and suitable material platforms for strong Brillouin interactions. These discussions will be placed in the context of recent results from the literature, including the closely-related field of opto-acoustics, and will emphasize emerging applications in signal processing, sensing and microwave photonics. I will conclude with a perspective for future platforms and opportunities for further fundamental and applied research.