Please remind me which year it was when you could move out / live alone from a starting salary and put down deposit on a house, because I don't remember.
Normally one started working / got married and the joint income + parents help was enough for a deposit to get a mortgage. The only option to get out is to live with friends and rent an apartment together. It is a myth that "back in the days" it was easier, it was always nearly impossible. + you have rich parents so I wouldn't worry too much, they will give you one at some point I am sure, just find yourself a wife ;)