That's a complicated question, because the nature of series A rounds has changed in the last couple years. A lot of so-called series A rounds now are de facto series B rounds, huge "seed" rounds having taken the place of series As (at least financially).
A bunch of the companies we've funded are profitable and haven't raised a series A round yet, but it looks like there is only one that is way past the (now much later) series A stage and yet didn't raise a series A: Weebly.