Social Norms
Social norms have adapted in a rather similar way to our own, but theres still a lot more variation between species, since many still have some of the behaviors of their animal counterparts. Flicking one's tail might just be a sign of curiosity for one, while it could be seen as hostility to another. Overall though, they tend to share an agreement that, similar to us, smiling is meant to be polite, frowning means someone is upset, etc. It's also usually common practice that trying to keep their tails out of the way is polite as well, but accepted that sometimes it can't be helped. Misunderstandings are very frequent, both between themselves and the other types of anthros. While the humanoid ones often behave more like humans with some animal tendencies, the other most common type of anthro is the reverse, leaning more toward animals with human tendencies. Both will still have most of the cultural norms from wherever theyre born, but humanoid anthros tend to have more behavior in common than not, while the other type have much more variation. Humanoid anthros have more of a standard with ear and tail motions (usually determined by whichever species has more influence in the region, or even just area to area like accents. A lot of the Mownyien republic tends to lean toward cat-like body language), but 'typical' anthros will often follow their instincts more. Plenty still try to follow what's most commonly used where they live, but much like how some people can't stop themselves from smiling at a bad time, 'typical' anthros sometimes end up giving off the wrong cues by accident, ones that would make more sense to their own species, but maybe not so much to others, especially in areas where humanoid anthros might be more used to following a different set of determined cues, or when surrounded by other typical anthros that aren't the same kind of animal as them.
Class/Politics
Politics are, frankly, quite a mess sometimes with anthros in general. Especially on Lynxon. With so many differences between species, it's easy to forget to consider certain things, whether accidentally or on purpose. Lynxon in particular, cats have sort of dominated the political spheres of many countries, especially in the Mownyien Republic, where many things are considered with them in mind first, and other species secondary. This leads to lots of problems. Issues vary from country to country, but when cats dominate the politics and policies of the country with both the most land and the most influence, the issues they cause will often leak into other places as well, making it everyone's problem.
In the Mownyien Republic specifically, cats and other mammals tend to end up having the easiest time navigating the world (most of the time), while others often become an afterthought, especially so for bugs or aquatic animals like fish or other sea creatures, which are frequently forgotten about. Size also plays a factor, while less of an issue for humanoid anthros, who are all mostly within similar height ranges, typical anthros have much more variety in their heights, like mice often only being around 4'0" to 4'8" feet tall, while something like an elephant might start pushing 8'0", or taller. Most cheaper places to live are built rather small, leading to very cramped living spaces for larger species who can't afford anything better. Job discrimination is illegal on paper, but many species still struggle to get certain jobs, rejected under the disguise of other excuses, when often the real reasons are either petty or based upon stereotypes (ex. many species with more unconvential looking hands, like hooved animals or sea creatures, face struggles with getting jobs that involve lots of dexterous work, like surgery. Even despite the fact that nearly all of them have just as much fine motor control as any other species around.) This especially happens with typical anthros, who are more judged sometimes on what they might be capable of based upon how their bodies resemble their animal counterparts more. Or others potentially finding their sizes, whether 'too small' or 'too tall' to be either a detriment or simply just inconvienent.
While not extreme, some places populated with more humanoid anthros will look down a bit on the other type of anthros on the planet, mostly out of percieved 'inconviences'. Humanoid ones are able to keep things a little more universal between species thanks to their similar shapes and sizes, only really having differences mostly in head, hands, and tails. But 'typical' anthros vary much more in size and shape, and struggle a little more finding places willing to make accomodations for them in some places. Clothes are mostly pretty well covered, but with quite a few countries being influenced by the Mownyien Republic in general, on top of the fact that typical anthros are a little bit less common than humanoid ones, issues can arise pretty easily, like having homes of appropriate size, and the subtle job discrimination. Some countries are better about this than others, the Mownyien Republic being a bit middle of the road in this regard, but leaning just a little bit further toward the worse end of things.