To be fair to Jim, I do quite like his Superman. However, to me, his Batman is just totally wrong. Can you explain to me what you like so much about his Batman designs because, frankly, I just don't get it.
I find the physique to be too similar to Superman. I used to like how back in the 70s and 80s Batman and Superman had more distinct body types. The short ears don't look like Batman to me. Don't get me wrong, there are some very good short-eared designs (eg. TDKR and Year One), but Lee makes them way too short. I don't like his choice of colours. The new Justice League aside, he tends to choose a ridiculously light blue for the cowl, cape, gauntlets, and boots.
His Batman just has the totally wrong vibe for me. The whole point of the costume is theatricality and to instil fear in criminals, which is why the light colours and short ears, scallops, etc. of the Lee designs bug me. My perfect Batman would be a Neal Adams-based design with a black/grey colour scheme. When it comes to more modern designs, this is about as good as it gets for me: