Most art styles outside of semi-realism and realism do not adhere strictly to human anatomical rules. This includes anime, western animation, comic art, etc. Take a look at your big inspirations artistically and pay attention to what they're doing--as long as you're aware of general proportions and how to balance proportions in a way that look intentional and functional, you shouldn't be worried about whether things are anatomically exact or not, again, especially if you are going for a more cartoony style. All this is going to do is limit your exploration of body types and shape language.
To be honest, the only piece you've posted that looks really wonky with the "anatomy" is the picture of the two characters dancing--primarily the character in the front (his torso is much too long and his head doesn't appear to be the right proportion for his body.) Other than that I don't see any other major glaring issues--but the stiffness and lack of attention to gesture is a strong theme in all of your work and it's really hurting your style, especially considering what looks to be your intention.
You should really be focusing a LOT more on gesture. I mean this with absolutely no disrespect whatsoever, but your art is incredibly stiff, and to me this is hurting your art a lot more than your "anatomy." The picture of the girl with the skateboard is actually pretty strong anatomically, but it feels flat, amateurish and unprofessional due to the lack of attention to the gesture.
Here is a very quick redline sketch over the skateboard drawing you did:
Now I mean, the proportions in my redline are definitely off in some places--I'm pretty sure that the back leg is not correct and I think the torso to leg proportions may be off (if anyone wants to jump in with another redline please do!) but I hope I could show you an example of how gesture can take your art to the next level and make it feel much more alive, despite the anatomy not being 100% realistic or accurate. The blue line in the center of the drawing is the "line of action"--this should be the starting place in every character drawing you do. The body of the character will follow this line of action and make their poses feel more intentional and alive. Arms, hair, clothing, etc--can all have their own lines of action as well, so don't feel constrained to just the main LOA.
Volume is another thing that seems to be an issue in your art, but that's a hard thing to give advice on because I'll be honest, it's something I've struggled with my entire artistic life and only recently have I started to get semi-better at it. Try to think logically about how the shapes of the body will contort within the line of action--the torso and hips don't always need to be facing the same direction, consider adding elements in perspective (especially shoes), pay attention to facial structure because this also adds a lot of volume to your art as well.
Your best bet to start improving not only in gesture, but even in anatomy and volume, is gesture drawing. Here are some resources to help you get started:
Proko's Gesture Drawing video series
Line of Action online gesture drawing tool (they also have face and hand gesture drawing options, USE THEM, DO THEM DAILY, they saved my life)
Quickposes online gesture drawing tool
Croquis Cafe, video gesture drawing models
These are just the resources I used when I started gesture drawing and I'm sure there are a lot more out there that will help you a lot! Please don't feel discouraged. Your art has a very nice flavor to it that makes me nostalgic--it reminds me of childrens books but I can't place my name on which ones... Even if you are going for a less cartoony or rounded style, or even a semi-realistic style, having a strong foundation in gesture and volume will really help you succeed as an artist. Good luck, sorry for the wall of text and if you have any questions please don't be afraid to ask!