I think it was in Neverwinter Nights when I saw for the first time in an RPG that an opponent or your own character did actually lift the sword and block an attack or moved it's body to dodge it.

I was awestruck back then, I thought it can't get any better, this is great! The characters don't just stand there and hit or miss, no, they actually fight!

So yes, something like different (short and fast) animations happening when you (critical) miss would really upgrade and improve the flow and feeling of battle!

Many people already asked for this, and I also want it 😁
+1