I have a bit of a love/hate relationship going on with anurognathids. Y'see, they are both really interesting for their unusual anatomy but also, for some reason, I have tremendous difficulty drawing them. This image isn't brilliant by any means, but it's certainly the best I've done to date (gives you an idea how bad the others are, then).
Anywho, there are some lovely fossils of animals like this from China (although Anurognathus itself is from Germany) which show a load of long, bristly hairs around the mouths of these pterosaurs. Hence, I've given this fella a little bit more facial hair than my other pterosaurs - an addition inspried, I have to admit, by the excellent art of Todd Marshall. They are also among the smallest of all pterosaurs, often having wingspans less than 50 cm. However, these forms are notable for more than just their small sizes and moustaches: anurognathids have really short, broad faces (hence the derivation of their name - "frog jaw") and jaws with simple conical teeth. Combined with their manoeuvrable flight capability, they seem well adapted for aerial insectivory. As a continuation of this idea, I do wonder if the hairs around their mouths were functionally analogous to filaments surrounding the jaws of avian flycatchers by acting as nets to trap flying bugs. Either that, or anurognathids were a rebellious lineage of pterosaurs that rebelled against Mesozoic oppressors by refusing to shave. Fight the power dudes, fight the power.
Oh, and if you want to see a less embarassing version of this critter, flutter your way over here.