I had numerous Tetris dreams during my peak of playing and for many months afterwards. My own experience was mostly going about my business in ordinary cityscapes, office spaces, rooms in my house, but with Tetris pieces constantly falling into gaps between objects. Rotate/drop was under my control but not always dependably so, sometimes creating an experience of panic as there was often some unknown but disastrous consequence of failure.

During this period incidence of such dreams increased with more Tetris-playing, but also were more often when I was stressed at work, in which cases the Tetris shapes were also somehow related to complex statistical / simulation programming I was doing in my day job.

I gave up Tetris cold-turkey when I began to see imaginary shapes falling between real objects during waking hours. Other games since then had similar but far smaller effects on my dream states.

I'm trying to recall, I haven't played Tetris in a few years. IIRC, was like playing Tetris on my computer, but without anything in my peripheral vision.