And rich, wearing a black costume with a cape and pointy ears...oh and his father was killed when he was a kid.
Black Panther:
1) King of the most advanced nation on the planet.
2) Religious.
3) Has enhanced strengh and senses. Usually due to eating a sacred herb.
4) His stories are mostly about political struggles and not about beating up thugs.
5) Always invents his own gear, never relies on anyone else.
6) Is King of the Dead, which means he can command Zombies as of Secret Wars #8.
7) Took on the mantle of the Panther due to tradition, not by just deciding to be a hero one day.
8) His father was assasinated, in order for foreigners to get their hands on the most precious metal on Earth, which is native to Wakanda.
9) Lives to protect his nation but still has a social life.
10) Kills when the time calls for it.
Batman:
1) Rich industrialist.
2) Atheist.
3) Normal human.
4) Mostly about beating up thugs and killers.
5) Mostly invents his own gear, sometimes going overboard with it, but he still relies on other folks from time to time (the recent Nu52 stories are a good example).
6) Became the Batman to avenge his parents.
7) His parents were killed just cause. It was purely random.
8) Lives purely to "cleanse" Gotham.
9) Never kills.
As for the costumes, the Panther's cape is purely ceremonial and he almost never wears it. Only when he's making a sanctioned visit or during a ceremony. As for the "pointy ears", Panthers do have pointy ears, so the Black Panther has pointy ears. And a necklace made out of teeth/skulls. He's a Panther after all.
Really, these arguments never amount to much. Not everything is a Batman rip-off and Batman isn't the high end of comic book characters. There are other, far more unique and interesting fictional people out there.