The original Batman had a very different cowl, although he looks much the same as he does even today. The cowl back then had pointy ears wider apart, and even had a bit of a spooky look. This is a spandex suit costume that gives it a classic, vintage look.
The 1960s version was owned by Adam West. He brought a fun, campy looseness to the character that hadn't been seen before. Who could forget all those classic BIFFS, BANGS, and POWS? Or Julie Newmar for that matter...meow!
After the 60s TV show, Batman went back to being strictly a comic book character. He had a similar look to his original version and went from black to blue. The character would stay roughly the same until the 1980s when Batman would radically transform.
Batman changed a lot in the 1980s because of Frank Miller. His take on the character made Batman more muscular, more stylized, and the stories more brutal and realistic. The golden age Batman was gone, and this was something new entirely, and readers really latched onto it making the campy version a thing of the past.
The Batman cinematic universe has been controversial to say the least. The Tim Burton versions were very popular and brought a whole new interest to the character, but there was only two of them. Then, Joel Schumacher got a hold of the franchise and while his films were popular enough to continue, they were critically panned because of silly plotlines and villains no more than goofy caricatures. When everyone thought the Batman movie franchise was completely dead, Christopher Nolan took it to new heights, and it became one of the highest grossing franchises of all time.