cheetahman91 here and I am going to give my thoughts on this classic SEGA arcade game from 1987.
The gameplay involves you flying around in a F-14 Tomcat jet plane shooting down enemy aircraft. Your weapons include a gun and a limited amount of missiles. Missles get refuelled every few stages. In this version, your airplane can be sped up or slow down using a throttle. That's really all the gameplay right there.
I know this arcade machine was a cockpit where the seat moved around and it had a flight stick, but I've only played it with a controller before. Whenever I first played this game, it reminded me a little bit of Space Harrier (another SEGA classic) in that it was a shooter with psuedo-3D visuals, but after I played it a while, I grew to like it better than SH. It seems more frantic and fast paced to me which makes it a little more difficult. I suck at this game though because I die every 10-30 seconds. Thankfully you can have as many continues as you want and you die where you left off. One interesting cameo I found in the game was that on one of the landing strips where you refuel on missiles, you see the Ferrari Testarossa going down the landing strip on stage 13. http://www.outrun.org/Afterburner/img/Afterburner%202/32x_ab9.jpg
Like SH though, the game suffers from being short and repetitive which may turn some gamers off. The game can be beaten in less than an hour if you're wandering how long. However, I look past repetitiveness in most games which helps me appreciate the game more. The music and graphics are great too. 
Video:
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My best score so far is 10237420 points, 413 kills, and a one star rank. Sounds like I need to play some more.