Emmett. He is stronger than most vampires, but has no special ability.
Laurent does not possess a special vampire ability in the Twilight Saga.
In the vampire index, it just merely says that Corin has a special power. It probably says in the book...? I heard somewhere that it was Paralytic venom, so could imobolize a vampire with one bite!
SPOILER ALERT!Yes, she does become a vampire, in Breaking Dawn. She is not a crazy new born, and she has a special 'power'.
Felix does not have a special power but Aro keeps him for his strength as he is the strongest vampire out of everyone.
no
Renesmee's teeth are special because they are that of a vampire's, although she is half vampire and half human.
Charlie Swan (Bella's father), does not have any 'special powers' in Twilight. He is not a vampire, or immortal. If you mean Carlise Cullen. He does not have any special power either. But he does have amazing strength to resist human blood, if you consider that as a 'power'. if you mean charles' (makennas mate) then his power is he knows when he's being lied to, just like Maggie (the Irish vampire who was 'adopted' by Siobhan and Liam).
Kate has an electric pulse in her body which puts a vampire flat on their back Kate describes it 'like a human being tazered' :)
they are the smallest bat
They use special effects.
a pup
Emmet Cullen possesses all the regular power of a vampire but doesn't have a special talent. Despite, his physical power is very high and is almost on par with a newborn vampire.