Here's a pleasant little thing. It's called 99 Rockets and is elegant and will probably even help you distress.
Mind you, describing what it is you do in this game won't make it sound particularly relaxing, probably.
Let's try it on for size: You direct a space rocket into targets so it crashes into them.
Yeah, that doesn't sound peaceful at all.
To elaborate, your rocket appears on the screen following a curved line. You have to tap the screen when it lines up with a distant target to send it flying into them.
It's all about timing. The relaxing part is its minimalist presentation and ease of play. The calming sounds help too.
Plus, you get the satisfaction of destroying things without all the fiery explosions. And it's beatable - the creators remark how rare it is to have a non-endless game these days.
99 Rockets seems worth a go, then. It comes out for iOS on November 26th.