Have a look at https://distrobox.it/. It allows you to tightly integrate containers into your desktop, including accelerated graphics, some devices, your homedir, etc. It can even automatically install desktop shortcuts. (You can disable the integrations of course)

Furthermore, distrobox allows you to define the list of packages to be installed, see:

https://github.com/89luca89/distrobox/blob/main/docs/usage/distrobox-assemble.md

and Redox the work that these guys are doing is awesome! 🤩