I believe UbuntuStudio had this type of menu on all versions up to and including UbuntuStudio 20.04. However, I can't speak for newer versions of UbuntuStudio like 22.04 because UbuntuStudio switched to KDE and I haven't tried the new desktop yet.
On UbuntuStudio 20.04 and older, they use a customized version of the XFCE4 desktop environment. Xubuntu and the XFCE desktop should give you a similar desktop setup and many users switched to XFCE when Gnome Shell was released. Therefore, Xubuntu or the XFCE desktop could be an option if you feel UbuntuStudio is too bloated and doesn't fit your needs (UbuntuStudio often includes either a suite of graphics software and/or audio software).
Also, Kubuntu and KDE use a basic menu setup but it may seem unfamiliar to you if you're used to GTK software. However, you might want to give it a try. Again, many users switched to KDE when Gnome Shell was released.
Other options like Ubuntu Mate and Lubuntu offer a similar, more familiar desktop experience compared to Gnome Shell. Although again, Lubuntu uses QT instead of GTK.
There is a brief overview of all Ubuntu flavors on the Ubuntu website.