T. Nagao, T. M. Reynolds, H. Kuncarayakti, R. Cartier, S. Mattila, K. Maeda, J. Sollerman, P. J. Pessi, J. P. Anderson, C. Inserra, T. -W. Chen, L. Ferrari, M. Fraser, D. R. Young, M. Gromadzki, C. P. Gutiérrez, G. Pignata, T. E. Muller-Bravo, F. Ragosta, A. Reguitti, S. Moran, M. González-Bañuelos, M. Kopsacheili, T. Petrushevska

In various types of supernovae (SNe), strong interaction between the SN ejecta and circumstellar material (CSM) has been reported. This raises questions on their progenitors and mass-loss processes shortly before the explosion. Recently, the bright long-lived Type~II SN 2021irp was proposed to be a standard Type II SN interacting with disk-like CSM. The observational properties suggest that the progenitor was a massive star in a binary system and underwent a mass-ejection process due to the binary interaction just before the explosion. Here, we study the diversity of the observational properties of bright long-lived Type II (21irp-like) SNe. We analyse the diversity of their CSM properties, in order to understand their progenitors and mass-loss mechanisms and their relations with the other types of interacting SNe. We performed photometry, spectroscopy, and/or polarimetry for four 21irp-like SNe. Based on these observations as well as published data of SN~2021irp itself and well-observed bright and long-lived type II SNe including SNe~2010jl, 2015da and 2017hcc, we discuss their CSM characteristics. This sample of SNe shows luminous and long-lived photometric evolution, with some variations in the photometric evolution (from $\sim-17$ to $\sim-20$ absolute mag in the $r$/$o$ band even at $\sim 200$ days after the explosion). They show photospheric spectra characterized mainly by Balmer lines for several hundreds of days, with some variations in the shapes of the lines. They show high polarization with slight variations in the polarization degrees with rapid declines with time (from $\sim3-6$ \% before the peak to $\sim1$ \% at $\sim200$ days after the peak). The observational properties are consistent with the disk-CSM-interaction scenario, i.e., typical Type~II SNe interacting with disk-like CSM.