So I've played through 2 of (I think) 6 cases, though they are probably the 2 shortest of the 6.
It's a Layton game, by which I mean it has good music, charming visuals, eccentric characters, and a selection of puzzles typical of a Layton game. What kind of puzzles are these?
So most puzzle games these days have an idea that they iterate on. The harder puzzles are harder because the deductions are harder find; or new clues/mechanisms increase complexity or make you rethink previous strategies; or the puzzles are just bigger. But the puzzles generally have the same fundamental ruleset. A good puzzle game is one that has an idea that can keep the player engaged for ~50 puzzles.
Layton games are a grab bag, such as:
- There are puzzles that involve mathematical or logical deduction (to keep these accessible, these puzzles are about the difficulty I would give to a middle school student)
- There are puzzles that involve manipulating objects on the screen to accomplish some goal or make a picture
- There are puzzles that involve analyzing a picture (like figure out which pipes to switch on to accomplish something, though I found this more a tedious process than a mentally stimulating process of making deductions)
- There are brainteasers that rely on a trick of wording or playing on assumptions
So the draw of Layton puzzles is their variety, but a drawback is that they can be hit or miss because there's no way to polish all of these ideas. Some puzzles ideas are reused, but these tend to be of the bigger / more complicated sort than the be smarter kind.
Summary: as a puzzle game, Layton is like an activity book filled with all sorts of fairly simple puzzles. It is a diversion that you play on your phone or DS for a bit then put away. It's not a brain burner or a game where you pop on a podcast and lose yourself for hours.