T-shirt neck styles

I am looking for T-shirts and/or sweaters that have a "raised" neck.
That is the cloth comes about half-way up the neck but is not rolled--
over.
Not the classical T-shirt bottom-of-neck height or a rolled-over or
sewn turtleneck (see http://en.wikipedia.org/wiki/Polo_neck);
something between the two.
Once I know the name perhaps I can find some !
Why?
They feel much more cosy than T-shirt height in the winter and I find
high-necks irritate the skin.