Neutrino oscillations have been well established and indicate that neutrinos have mass and that there is mixing among the different neutrino types. On the other hand, the pattern of the oscillations has raised a number of questions. This article presents the status and plans for exploring some of these questions using accelerator and reactor neutrinos. With respect to oscillations among the three standard neutrinos, the current program for measuring the third mixing angle, θ13, will be presented along with future plans to search for CP violation and the mass hierarchy. Finally, the status of possible oscillations to sterile neutrinos is reviewed and future prospects are described.