Lets get this out of the way, The Batman is NOT Batman: The Animated Series, it is a different show. Once that notion gets into people's minds, they are able to enjoy The Batman for what it is - a stylized series about the Dark Knight's early days. True, the show is sort of inspired by the Batman Beginsesque Batman that is still learning the ropes, but this show is in a much more kid friendly and light hearted vein. Also, The Batman does seem a bit guilty of creating new suits and gadgets that would make cool action figures.
Many of the foes on The Batman have been re-imagined. For the most part, the well known villains have been done poorly, and the lesser knows have been made cool. The Joker now resembles a crazy ape, and The Penguin knows kung fu. The exceptional Mr. Freeze from BTAS has been reduced to a jewel thief. But then Firefly, Ragdoll, Poison Ivy, Clayface, the Riddler, Hugo Strange, Maxie Zeus, and Scarface have all been given chances to shine.
The first season focused on Batman's clashing with the police department as he faught costumed freaks and ended with a great 2-parter introducing Clayface. Season 2 involved Batman working with one of Gotham's finest. During this season, many of the bad guys also teamed up. So far, season 2 was the high point of the show. At the end of the season, Gordon came to town and established a partnership with the Batman. Season 3 introduced Batgirl. At first Batgirl was a great addition, but by the middle of the season she really got annoying and started to take some of the focus from Batman. Season 4 has just begun, and has added "The" Robin to the mix. After 3 episodes, season 4 is looking stronger than season 3 and maybe as good or better than 2.
The Batman's other high point was in the form of the DTV The Batman vs Dracula which allowed the show to go a bit darker. One scene in particular involving vampires, The Joker, and a blood bank would not have made the Saturday morning TV cut.
Overall, this show is not as timeless as the Bruce Timm Batman, but it is faithful to the character and quite enjoyable.