The Blues hit on their 1sts, or traded them away and hit on those instead. Most of their later picks, at least those that I can recall, were traded after panning out but not really having a place on the team or for reacquiring assets. It actually gets a lot better when you consider their top 60, they've almost always either hit or it's too early to write them off. Over half of this chart is Parayko and Binnington though, which is pretty damn good. If you expanded the chart to 2008 you'd also get Lehtera and Allen. Perron was in 07. Bishop and Reaves in 05. That's insanely good pick rate considering the average 3rd rounder will likely never play, let alone some of those guys are or will be close to 1k games.
Robert Thomas, Kyrou, Thompson, Dunn, Fabbri, Barbashev, Edmunson, Schwartz, Tarasenko, Eller and Cole, Perron, Berglund, Oshie, Bishop, Reaves, Soderberg, Polak, Backes, Stempniak. The Blues drafting has been great, even if most of these guys didn't contribute a ton with them and went to other teams.