KTII is not bad at all. It's a port of an F3 game. so there are a few raster effects. The Tate mode is the way to play.
It is a tad shorter than the original KT (the Toaplan game has 10 levels rather than 6) but I like it still. The stars appreciate in value up to 10,000 until you get shot down. You can reach full power quicker (it takes just several powerups). Save up enough bombs, and you end up with Hyper Bombs becoming available.
Both rate about the same in my book. Although it's a Takumi game, it's quite different from their more recent fare (no RF or Mosquito). Rapidly tapping the button boosts your fire a bit as in Blazing Star.