In my mind, shirts with collars are a staple--they are never out of style. Wearing a collared shirt depends on 1) circumstance--do you have a lot of situations where you need a classic tailored look)? 2) proportion--does the size and shape of a collar suit your face, neck, shoulder, and chest? and 3) personal comfort level--do you feel good in a collared shirt?
I would think that any contemporary wardrobe would have a variety of necklines, including a collared shirt, depending on the three factors outlined above.