This topic has come up quite a few times over the years on this board. A lot of the discussion around it has mostly been others opinions. I found this neat little graph online (instagram) from the New York Times that compares the two. Now keep in mind one's location will certainly have an effect on which one might make more sense, even in what part of you own country you're in.
The only reason why I prefer to buy a house is because my country doesn't have laws that favour tenants. Even in areas where these laws exist, they are hardly enforced. Landlords have so much power that they can even eject a tenant from his house without any court order. So I would prefer to own my own house to protect myself and my family. However, renting a house is cheaper for me in where I live currently.
If you have the money buy the house and stop renting. Remember even though you are renting a house you have to do some maintenance work in the house to you taste and not everything you will like to involve your landlord to come and do it for you buy a house, you can design your house the way you want. There are some kind of things you won't do in the rented place but you can do it in your own house.
It is not even advisable for a grown up person to rent a house when he has the money. There is nothing like personal home.
Owning your own house gives comfort and freedom but you have to consider the expenses of maintaining a house which include repairs and tax. I heard that some countries charge high property tax which can consume someone's earnings. So in that case renting a house will be the best option. But if one has the money to cover these expenses, the best option will be to buy or build a house. The cost of owning a house is also expensive and most people might never afford it even with their lifetime savings.