Frogboy has a better spin on this than I do...
Suffice to say, I really liked those 2 Batman movies Tim Burton did... I felt the third one enjoyable, but I HATE how Twoface was portrayed with the Joker's personality, and I have yet to meet anyone who LIKED Batman and Robin. When it came down to it, Tim Burton actually didn't read the comics and just did the movie how he felt it should have been done, and while I like Jack's Joker, Caesar Romero was the best one until Mark Hamil (Larry Storch's one for the animated series in the 60's and 70's was pretty good too). Plus, it seemed everyone who played Batman in those 4 movies was just a little uncomfortable (though, out of the bunch, Keaton was the least uncomfortable). And according to a Charlie Rose interview, (I forget some of it the most part since it was over a year ago) Tim Burton stopped doing the Batman movies because he kept butting heads with the license because the gruesome death scenes made horrible Happymeal toys. Not kidding.
HOWEVER, without the Time Burton Batman movies, we never would have had the groundbreaking, scene changing Batman the Animated Series (A cartoon almost everyone universally likes). It may not seem like much, but that cartoon pushed envelopes that let to more realistic nail biting action and brilliant writing on children's TV, something to the dismay of parental groups. There have been some very action packed shows in the 80's, but there was there was a gritty darkness that BTAS brought to the table that changed animation. Right up their with Nicktoons, the most important thing to happen to cartoons at the time.
In other words, check out an episode of Batman TAS and a Super Friends cartoon. The Super Friends never lay a finger on Lex Luthor, and the villains ALWAYS escape at the end of every episode. Batman CLOBBERED the villains, and for the most part, they either got caught in the end, or met a gruesome ending.