N3TWORK got the Tetris license and released a game app last year. From what I read it started with basic Tetris though by now it has various game modes including a battle royale mode. It has the traditional music and modern graphics.

You start only able to play 3-minute speed games but after a couple of these games you level up and regular Tetris is unlocked -- other modes are unlocked as you keep playing games.

I played this for a bit. Tap to rotate, swipe left and right (or tap-drag left and right for more control), drag down to drop. For a touch game it is surprisingly smooth moving pieces around though I often accidentally dragged down or had an inadvertent tap to rotate. There is no controller support though so that greatly limits my ceiling.

This is a freemium game. There are ads that run sometimes before you start a game and you can turn them off for a month or a year as in-app purchase. There are generic coins you buy to purchase stuff at the store -- theme packs and game powerups.

Overall if you can get past the fact it's freemium model it's a very playable version of iOS Tetris.