Of the four in the poll, the best is the first Burton film.
There are fantastic elements in the 1989 film: visually, stylistically, story-wise, and casting-wise. My favorite scenes are easily when Batman is driving Vicki Vale to the Batcave for the first time, and then Batman reveals the Joker's cosmetics plot. For me, that's the core of the film where it's firing on all cylinders. The entire opening act at the chemical plant is also good. Keaton was an off-beat choice for Wayne, but I think he basically works for the whole film.
However, the film has major problems. I think Nicholson was badly miscast, and I pretty much hate every Joker scene. It's been years since I've watched it all the way through, but I remember thinking that it dragged on way too long, and I seriously hated the ending. Making Napier the man who killed Bruce's parents was a lot of bad things, misguided being one of them; when that was revealed, I started hating the movie and never really got over it.
Of the other three, I'd say Forever is the best, though it mostly blows. At least it's kinda fun. Returns was horrible the only time I saw it, and once was enough. B&R, well, what the fuck were they thinking?
I like all three films of the Nolan trilogy, but all three are best not scrutinized. They work best as experiences.
BvS was a godawful suck-bomb, but at least JL only sucked.
Mask of the Phantasm remains on my to-watch list.
I was underwhelmed by the two-part adaptation of The Dark Knight Returns. Really, reading the comic remains much more fun, and I'm among those who thinks it's a masterpiece.
edit - Oh, yeah the 1966 version. Yeah, it's at least number two in comparison with the four in the poll. It's a fun film, but it's also over-the-top absurd. As a kid, I found the dehydrated henchmen who infiltrate the Batcave to be incredibly creepy. The film's biggest shortcoming is that it lacks Newmar.