Very close to being done I'd say; just a few things to tweak.
You've put the frame after the leg goes down so its not very noticeable and it stays up quite long before going down.
when its coming up it also almost touches the floor but its not that noticeable because its blocked by the front leg.





Rough edit to illustrate points.

The animation's really improved loads.The only thing I can point out is the back leg doesn't stretch out before hitting the ground like the front does.The frame with it holding up could probably be replaced with it stretched so what MysteryMeat pointed out is also solved.

Like the design but I agree the run animation looks cartoony.
His legs don't really extend fully in of him and it looks a bit like its the same arm in the background because the arm isn't present except from when its in front. The back leg also looks a bit like its on front/the body tilted diagonally towards "camera" while the head is facing directly left.I think adding more emphasis when his feet hit the ground and less when moving it should add some weight but i'm not really experienced in animation at all so best to just look at reference.

I think you've definitely improved,looking at your first few pixel arts on twitter but you've definitely stuck with similar-ish styles. Maybe try to do things out of your comfort zone eg. Bigger sprite sizes, different styles, trying different textures etc.Hopefully they'd be harder to do and your flaws may be more distinct .That said still work on the basics I guess and really the best way is just to keep doing it for as much as you can as long as you're doing something you'll get better over time. Places like this and PixelJoint are definitely also good places because even if its not your work being critiqued you can see the flaws and how to improve them. But Idk, I'm still new to pixel art so don't take my advice too seriously.