australia
What “fundamental rights”?
The courts can strike down any law that violates the Constitution, however, apart from the free exercise of religion, the Australian Constitution contains no explicit guarantee of rights. Nor is there are seperate Act of Parliament that provides one.
There are, however, implicit rights in the Constitution.
The Australian Constitution does not explicitly protect freedom of expression. However, the High Court has held that an implied freedom of political communication exists as an indispensable part of the system of representative and responsible government created by the Constitution. It operates as a freedom from government restraint, rather than a right conferred directly on individuals.
This was decided in 1992, and, in the thirty years or so since, no other rights have been found.
The courts can strike down a law if it violates one of these two rights, but, providing the law stays within a head of power granted to the Federal government by the Constitution, they cannot disallow them.
States vary on whether they have a bill of rights, for example, victoria does, new-south-wales doesn’t. However, these always have a “get out of jail free card” allowing Parliament to explicitly override the rights - the Victorian escape clause is s31. This is essentially the same as the UK’s concept of Constitutional Acts which also require explicit rather than implicit overruling.
Australia, while it does have special purpose courts and tribunals (e.g. various Administrative Appeals Tribunals, Land and Environment Courts etc), does not have dedicated Constitutional courts. Any court with jurisdiction over a case could declare a law unconstitutional. Note that state courts have Federal jurisdiction but not vice-versa.