Well, i can’t really recommend a specific combination, but I can give you options so you can comprehend more about by researching. All the distros I will list here have dedicated editions, or ways to install different desktop environments. As of judging by your screenshot, it seems like you’re somewhat of a technical user so these recommendations were made by keeping this in mind, these are not the greatest options if you want something for a newbie non-tech savy Linux user.
Fedora - exceptionally stable and quite fast distribution, altrought not the fastest, great software availability, if you don’t find your software, or the version shipped by fedora on the repos isnt working for you, consider install it using containers, like flatpak, or distrobox.
Arch Linux - very tecnicial distribution, on my experience not really stable and not very usable on the longterm, but works well for a Great amount of people, it’s main features are it’s customizability, being able to craft your own system by deciding precisely what will compose it, and the aur(arch user repository), in it, you will find user made scripts to install all kinds software, even pathed ones.
EndeavourOS - Arch’s youngest daughter, arch but a bit more polished, and user friendly, with it you get all the features of arch Linux, with better setuo, and more ease of install your desktop environment / window manager, at the expense of worsened customization.
Opensuse - not very popular, but by far the fastest distro on the list, its main edition is based on the plasma desktop environment, you may run into some issues, but if you know your way around things, you will surely get the most out of this system, just like fedora, if you don’t find, or the software on the repositories isn’t working for you, you can always use containers.
Desktop environments / window managers - if you don’t know what these are, I recommend you do a more indeph research about them, but in resume, both are the user interfaces which run on top of your system, the difference is that desktop environments tend to be more user friendly and “complete” than window managers, while window managers tend to be more lightweight, simpler, and customizable.
KDE plasma environment - excellent and fast desktop environment, has a great implementation of the keyboard shortcuts, you can make anything do anything just by changing them on the settings app, the glimpse of desktop customization on Linux, it has a lot of themes available and a built in theme “store” integrated right into the desktop. Recommended if you want a great balance between customizability and convenience.
Sway - sway is a window manager for Linux based on the Wayland protocol, being the first of it’s kind, can be heavily customized using it’s configuration files, in which have a simple and comprehensive syntax, just like any other window manager, it can be configured to do pretty much anything.
Hyprland - I would sway hyprland is a successor to sway, it’s more polished than sway with more features, has beautiful and fluid animations, I have never used hyperland myself, but for what I have seen, it’s the best window manager out there.