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I found a list of them on Amazon that you might find helpful. When you load the page, use the Sort By menu on the right and change it to Most Popular or Average Customer Review. That will let you see which ones other people are buying, and you can check the review comments to see if gamers have thoughts about particular monitors.
You might also want to check out this article from PCMag about the best touch-screen monitors.
I would think any touch-enabled screen should allow you to play touch-enabled games, but I can't find information about that one way or the other. I do know that touchscreen monitors aren't cheap: The least expensive one I see online is $283, and they top out at more than $1,300. There's also an interesting discussion thread on reddit about touchscreen monitors and their practicality for gaming.