Download the beta from the PlayStation Network. Ace Combat Infinity is set in the near future, which allows for things like giant flying super-carriers, and has a novel-sounding multiplayer mode.

Ace Combat Zero: The Belkan War (2006) Ace Combat 6: Fires of Liberation (2007) Ace Combat: Assault Horizon (2011) Ace Combat Infinity (2014) Ace Combat 7: Skies Unknown (2019) ...