What game is after Ultimate Ninja 3?

The game after Ultimate Ninja 3 is Naruto Shippuden: Ultimate Ninja 4. This game was released in 2007 for the PlayStation 2.

It's important to note that there are some inconsistencies in how the games are numbered depending on where you are in the world. In the US, the game after Ultimate Ninja 3 is Naruto Shippuden: Ultimate Ninja 5. But in Japan, that game was actually called Naruto Shippuden: Ultimate Ninja 4.

Hopefully, this clarifies things!