Kbin has uncontrolled spam because the administrator, Ernest, likes to go AWOL for months on end and wants to do everything completely by himself. Currently, Kbin.social has been unreachable for 4-5 days - whether that's because something legitimately broke or Ernest pulled the plug on things we don't know because he actually hates communicating with people. He could gain so much more goodwill from the community if he just left a one sentence post saying "I am still alive, I am still updating things, be patient."
Lemmy World sucks because the admins suck, the moderators suck, and the majority of the userbase don't seem to be interested in creating quality content. Most of the people there are only there because their Reddit app doesn't work anymore.
I learned everything about how to build a PC from buildapc... like 12 years ago. Nowadays it has been infested by idiots who don't know shit but act like they do, and also think more RGB = more better.
Not sure about apps since I don't use any, but on the website versions of both Lemmy and Kbin instances, there is a link either on the sidebar or at the bottom of the page that says Modlog. It defaults to showing you a global list from all federated instances of all the most recent moderator actions. On Lemmy instances the moderator's names are hidden but on Kbin instances it will always show you Moderator > action taken.
(edit: on Lemmy instances only): There's also a useful search feature at the top which lets you look almost anything up.
Good on you for reading the mod log. If you look at it at least once every day, you'll realize which communities have good mods and which ones don't, and you'll be able to decide where you want to hang out.