In recent papers arXiv:2109.07639 [hep-th] and arXiv:2202.08196 [hep-th], we
constructed free off-shell N=2 supersymmetric higher spin gauge
theories in harmonic superspace and their cubic couplings to hypermultiplet.
The present report is a brief review of the results obtained.Comment: 0 + 9 pages, Invited talk at the International Conference on Quantum
Field Theory, High-Energy Physics, and Cosmology (Dubna, July 18-21, 2022