This is a very incomplete list of the non-marine molluscs of the country of Australia. They are part of the invertebrate fauna of Australia.
Freshwater gastropods.
The freshwater molluscs of Australia vary greatly in size, shape, biology and evolutionary history, and more than 99% of the native species occur nowhere else on earth. Currently, there are more than 400 native described species and a further 100 species that are undescribed. A Lucid multi-access key for them, together with descriptions is found at "Australian Freshwater Molluscs, Revision 1A".
Tateidae.
Genus "Caldicochlea".
"Caldicochlea" is a genus with two species, endemic to the Dalhousie Springs supergroup.
Genus "Trochidrobia".
"Trochidrobia" is a genus of small, gastropod, belonging to the family Tateidae. "Trochidrobia" is endemic to Lake Eyre supergroup, found in artesian springs between Marree and Oodnadatta (northern South Australia). "Trochidrobia" have smooth and thin periuoostraca, and thin, simple and oval-shaped opercula. There are currently four species described in the genus "Trochidrobia":
Land gastropods.
Pupillidae
Bothriembryontidae
Charopidae
Camaenidae
Freshwater bivalves.
The freshwater mollusks of Australia vary greatly in size, shape, biology and evolutionary history, and more than 99% of the native species occur nowhere else on earth. Currently, there are 46 bivalve species that are described with several other known species yet to be described. 
Corbulidae
Cyrenidae
Hyriidae
Lasaeidae
Mytilidae (brackish)
Sphaeriidae
Trapezidae
References.
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