I echo everything Staysfit said -- I share most of the physical traits she lists -- short hair, longish neck, broad/square shoulders, small bust. I like some but not all crews, some but not all v's, some but not all boat-necks, some but not all turtles... It's really very garment-dependent I'd say. I've actually had a very hard time shopping for specific necklines, because that search hardly ever turns up the items that I want. I went on a quest for turtlenecks this winter, and rejected every single one I tried, but it had to do with elements other than the neckline.
I also like Style Fan's point about figuring out which necklines echo the shape of your face/jawline.
I'm under the impression that high crewnecks are somewhat more "current" or in vogue than deep scoops and v's right now, but I deeply dislike crewnecks on myself if they are too high, especially if the t-shirt is very plain and has nothing else to distinguish it. And especially if the fit of the shirt is loose and boxy -- I don't like the feeling that a shirt is attached to me at the neck and just hanging loose everywhere else...