In this work, we discuss the state-of-the-art of different types of AlGaN-based ultraviolet photodetectors, including metal-semiconductor-metal photodetectors, Schottky barrier photodiodes and p-i-n structures. New metal-insulator-semiconductor photodiodes will be proposed as low-noise UV photodetectors, improving the detectivity by more than one order of magnitude in comparison with standard Schottky photodiodes, and with a higher fabrication yield than metal-semiconductor-metal photodiodes.