Compatibility w/what? People answering this will wanna know...
FWIW: I'm up to High Sierra on my studio iMac (which is reallly old - '11, I think), Big Sur on my late-'14 Airbook, and Monterrey on my 2017 iMac Retina.
High Sierra seems great. Bug Sur pretty solid. Airbook & studio iMac are both old enough that they won't update any further.
iMac's Monterrey has a couple hiccups. It's been prompting me to update to Ventura...but I haven't done it yet. Not confident: I routinely update the iOS on my iPhone 11, and it has sucked like an airplane toiler for the last several versions. So upgrading/updating doesn't hold any promise of better performance, and DOES have the potential for slower performance/compatibility stuff.
Just my nickel's worth...good luck!