These games start with a look: a character to dress, nails to paint, a room to furnish. Under that, most of them are puzzles. Merge games ask you to combine two matching pieces into something better, then decide what to keep and what to spend. Match-3 games ask you to read a board two moves ahead and not waste a swap. The salon and dress-up titles are lighter, closer to a quick drawing session than a logic test.
Try Brainrots: Dress Up & Interior Design if you want to style a character and a room in the same sitting. Hair Salon and Nail Salon are the fast ones, good for a coffee break. Piece of Cake: Merge & Bake hides a tidy merge puzzle behind the baking, and Home Design - Match 3 pairs a board with a house that fills in as you clear levels.
Pick by mood: merge for a slow build, match-3 for focus, salon games for five minutes of color.