Buying a house without a mortgage is (almost) impossible. You either are rich, or your parents are.
When me and the wife wanted to life together we first wanted to rent a place. Being on the list for about 2/3 years we finally got a rental house assigned to us, then the company looked at our salaries and said that we earn to much to be allowed to live with a such a low rent, this happened on 3 different isntances. It meant we had to find a place for rent in the +600 euro market, which we felt was a shame, since you're throwing away 600 euros on rent every month. For that exact same amount we eventually bought a house, when I'm 50 we paid our mortgage and the place is us. Meanwhile I have built my studio on that property.
When I'm 67 and want to retire, and this house is possibly to big for us we'll sell it and it will be great to have as an extra on my pension. If we don't want to sell, it's ok because don't have any mortgage or rental cost anymore.
We don't have any other loans. We paid for our cars, the studio and any other work we did on the house. We having savings for anything that might need replacement at any moment (car, fridge or whatever).