At the moment, playstation is live broadcasting the Mortal Kombat live open tournament.
This is not the only tournament that Playstation organize. You may check other tournaments from its official page.
Other than Mortal Kombat, FIFA and NBA are also possible. When you enter the website, it automatically shows the tournaments available in your area. There are some prize are also available. You need to check the tournaments listed to find out the details for each tournament. If conditions are ok for you, you may attend one. On the other hand be careful about the opponents, and take screenshot after completing the game as a proof since your opponent may apply for protest.