If you're a philistine who never visits arcades, this game will almost certainly have passed by you unnoticed. It's a sequel to the old After Burner games, and like them it is a simple rail shooter. Idiots would say that there's no skill involved, but they are wrong. Despite the massive graphical improvements, the game plays extremely similarly to After Burner II. Besides a new scoring system based on chaining lock-ons, the main difference of note in Climax is the addition of Climax Mode, which slows time and gives you tons of missiles. The arcade version also comes in some darn fancy motion cabinets which give a lovely physical edge to your game. Unfortunately, it was designed for Japanese players and as a result JohnnyUK and Ultima may remember me hitting my head on the damned cabinet. Twice.
The good news for you is that you don't live in an After Burner Climax cabinet, and there's no danger of you hitting your head on one when you finish playing the game at home. There's no need for you to be put off by potential head injuries when the home version is released, and therefore I would recommend that you try it out.