Is there a game where you can build your own supermarket or a restaurant? Like in Theme Hospital, Theme Park, Pizza Tycoon etc.

I think they have Resteraunt Tycoon...not sure about Supermarkets though :)

mall tycoon?

I think that after Skateboard Park Tycoon they have milked it out too much already. Wouldn't be surprised if there was a Mall Tycoon.

And yes, Mall Tycoon found on Google. Not the download, only the Gamespot review.

I believe there was a game that was called Resturant Empire where you get to run your own resturant and participate in Iron Chef-esque contests.

I recommend Ore No Ryori.. it's fantastic.
You can find it at www.vertigogaming.net.

Yes, and you can find it at Enlight's site: www.restaurant-empire.com.

It was a decent game, but I found it rather unambitious.

What a strange request :P

There is a Tycoon game for everything....

It's only a matter of time before we're all enjoying a good game of Tycoon Game Tycoon.