Anustar City is the second City that the player visits (Without counting the starter town) 

Flash House

Kurt House

Then go to the Kurt house. He will give you the TM70 - Flash

In the middle of the city, there is a Mine, go ahead and go down the stairs. You will find a Super Potion.

There isn't any battle house in this city.

If you have a good level (11-15) you should go to Anustar City gym