You want one with structure (a ribbed neck, to stand up) in a five-star neutral colour – navy, grey, cream or camel or brown (a lot of the quality sweater brands like Navy Grey only do sweaters in these colours, and red).
Cable knit has credibility (in the right wool blend it looks expensive) and a round neck cable knit in grey always looks chic (£20.99, hm.com); add another around your neck for extra luxury.
There were decorative ones; pretty, fine gauge ones; cool Phoebe Philo at leisure ones (cream or pale grey with a pulled up turtle neck and pushed up sleeves, flopping over a pair of pin stripe trousers).
Labels that are good for luxury turtlenecks include Navy Grey (navygrey.co) and Cos does a nice one in navy (£250, cos.com).
Navy Grey does a huge range of luxury turtlenecks, including this navy one for £325 at navygrey.co.