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    $\begingroup$ I'm accepting this because it seems like a much more idiomatic solution (and is a lot faster). However, I wanted to note that it's missing CellularAutomaton and SubstitutionSystem. $\endgroup$ Commented Dec 2, 2015 at 7:33
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    $\begingroup$ As well as TuringMachine, actually. It's interesting that these all belong to the same group of functions. $\endgroup$ Commented Dec 2, 2015 at 13:06
  • $\begingroup$ Quick 10.4 update: the list now also includes StringFreeQ, StringMatchQ, StringPosition, StringReplace and StringReplacePart. The above three functions are still missing. Furthermore, thanks to the 10.4 update, I've noticed that we're also missing function which are curryable via different names. 10.4 added UnequalTo which returns a curried Unequal. Likewise, there's 10.3's EqualTo which curries Equal. I don't know if any other examples like that exist, but they would definitely be worth mentioning in a comprehensive list of these. $\endgroup$ Commented Mar 8, 2016 at 15:34
  • $\begingroup$ After some more testing, I'm switching the checkmark back to ybeltukov's answer. Weirdly enough it still seems more reliable. The only ones it doesn't report that are included here are AssociationThread and Entity and as far as I can tell they have no operator forms in the sense that the others have. $\endgroup$ Commented Mar 8, 2016 at 15:44
  • $\begingroup$ 11.0 update: checkmark goes back to this one. AssociationThread and Entity have been removed from the list. It also includes FoldList and AlphabeticOrder which are missing from ybeltukov's solution. While CellularAutomaton and SubstitutionSystem have been added to this, neither method currently returns TuringMachine, which is slightly odd. $\endgroup$ Commented Sep 15, 2016 at 8:37