1st person, 3rd person, and even that almost-impossible-to-pull-off 2nd person.
Limited 3rd person, omniscient, alternating.
So many choices!! But whatever choice you make about point of view for your story, one thing is extremely important--that the voice of the character shines through. Always.
I found a GREAT quote tonight about this idea, from the blog, Murder She Writes (link here). I couldn't agree more, and love the wording of this...
The soul of the character needs to bleed through every word choice you make while in their point of view.