Choplifter!

From the back of the box (Master System, US):

Man a chopper in the nation's top action adventure. The Leading home computer game in the U.S. has just become even better. With more detailed graphics. More geographic locations. Even more challenging maneuvers. If you're not familiar with the scenario's, here's how it goes: pockets of international hostages are trapped. All across the world. In the Middle East. In the South Seas. And in a secret base somewhere in a cavern. You man a helicopter rescue team. And your job is to take your helicopter down, rescue the hostages and fly them back to safety. All the while dodging and destroying dangerous enemy fire. An action-packed helicopter game at its best.