While I like the new design, it’s still a bit clunky. I always liked the Lichess tiles for a quickmatch UI and I think we could use something similar. I’ve made a sketch here:
With the idea that you select your preference and join the queue with a single click, no extra “Play” button. And you could multi-select the tiles to join multiple queues. I’m not suggesting to implement this now, since the play page just recently changed, but when it’s up for a redesign at some point in the future, maybe this could be an idea to consider.