Neuropteran families include Ascalaphidae, Chrysopidae, Coniopterygidae, Hemerobiidae, Ithonidae, Myrmeleontidae, Nemopteridae, Psychopsidae and Sisyridae.
CHRYSOPIDAE (Green Lacewings)
Malllada signata is in the order Neuroptera and the family Chrysopidae.
The Green Lacewing is a native to Australia and is found throughout all... 
MYRMELEONTIDAE Ant Lions
Possibly in the family MYRMELEONTIDAE. This lacewing was fluttering about in the house at night, after it was photographed it was released outside.
NYMPHIDAE (Split-footed Lacewings)
Blue-eyed Lacewings are common in Brisbane in Summer. They are poor fliers, with two equally sized wings and a rather heavy body (in comparison to...