They Came from the Skies (PlayStation 2)

In the 1960s an aggressive alien species attempts to invade Planet Earth. It is your duty to prevent the annihilation of the human race.

They Came From the Skies is an arcade 3D shoot-'em-up where the player can choose between two different look alike aircrafts of that decade - a jet fighter and a bomber. In the following 20 missions the main task is to keep control of the sky by fighting flying saucers and defeating mother ships. There is even the chance to enter the enemy's flying objects to beat them with their own weapons. During maintenance the aircrafts can optionally be upgraded. Besides these missions the player is awaiting a training mode to experience the handling of the aircrafts before entering the battle for Earth.

https://www.youtube.com/watch?v=0m0KS2h6jYg