What is online?
Using the Tasmanian Names Index you can search and view census records that include records from 1826-1828 on children in the colony, and census returns of individual households for some years between 1837-1857 (a selection only, as most individual household returns have not survived).
You can also search for digitised household census returns arranged by parish in Householders’ Census Returns for Various Districts, Arranged by Parishes 1/1/1842-31/12/1857 (CEN1).