In recent years, with the rapid development of the emerging technologies including the Internet of Things, cloud computing, big data, artificial intelligence and 5G, higher computing power is required. Traditional semiconductor devices are confronting the huge challenges brought by device miniaturization, energy consumption, heat dissipation, and so on. Moore.s law which succeeds in guiding downscaling and upgrading of microelectronics is nearing its end. A new information carrier is urgent need for information transmission and processing instead of electrons. Spin waves are collective excitations in ordered magnets and quantized as magnons. The propagation of magnons does not involve the electron motion and produces no Joule heating, which can overcome the increasing significant issue of heating dissipation in electronic devices. Thus, magnon-based devices have important application prospect in low-power information storage and computing. In this review, we first introduce the recent advances in the excitation, propagation, manipulation, detection of spin waves and magnon-based devices. Then, we mainly discussed the works from our group to inspire more possibilities in this area. This part is described from four aspects: (1) chiral magnonics, including the chiral propagarion of magnetostatic spin waves, DMI-induced nonreciprocity of spin waves, spin-wave propagation at chiral interface, magnonic Goos-Hänchen effect, spin-wave lens, and magnonic Stern-Gerlach effect; (2) nonlinear magnonics, including three-magnon processes induced by DMI and noncollinear magnetic textures, skyrmion-induced magnonic frequency comb, twisted magnon frequency and Penrose superradiance; (3) topological magnonics, including magnon Hall effect, magnonic topological insulator, magnonic topological semimetal, topological edge states and highorder corner states of magnetic solitons arranged in different crystal lattices; (4) quantum magnonics, including quantum states of magnon, magnon-based hybrid quantum systems, and cavity magnonics. Finally, the future development and prospect of magnonics are analyzed and discussed.