For any half decent company you will require a HR license, many smaller operators who are not safety conscious might take you on but when your talking about the big boys with RIO and BHP etc then you must have a HR license which is where i assume you want to be working later on. Things like loaders when using forks require IT tickets and some other equipment but not specifically dump trucks unless its a client requirement on that site as such things do exist.
Above Alkatraz your asking about whats called "move and test" verification of competency (VOC) and yes fitters/sparkies do require HR licenses to move machinery depending on the sites individual rules. So far ive worked across projects for Goldfields/Woodside/BHP/Rio Tinto and the safety requirements vary on every single project in relation to whatever the client wants
The best advice i can give you if you want to get into mining or civil construction projects without having a trade qualification or a degree is to get a HR license and apply for a driller's offsider, Ausdrill is one of the better drilling companies in my experience. From there if you can do that for at least a year or two you will also have time to pick up Fork lift Tickets, Crane Tickets, IT tickets etc if you want to be a workshop TA. I am not saying these are mandatory to becoming a TA but will help you immensely when trying to find employment on a site. You might also want to try applying for serviceman position's aswell as you may have some luck with them without the crane/it/fork tickets if you don't want to go down that road.