Everyone’s different.
I’m good with zero-story puzzle games. I’ve spent many hours in Simon Tathem’s Puzzles [1] on my iPhone, just for the 100% pure logic goodness that they are.
[1] https://apps.apple.com/us/app/simon-tathams-puzzles/id622220...
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Do yourself a favor, if you haven't yet: go in the instructions for the games you like and find out the original game's name (for example' "Light Up" is actually called Akari), go online and find hand-crafted puzzles for that game. I love that Simon Tatham's Puzzles exists, but nothing beats hand-crafted puzzles made by good designers. There's a sense of purpose in the order you discover the solution and some "eureka!" moments that randomly generated puzzles will never give you!
you might want to have a gander at https://store.steampowered.com/app/207570/English_Country_Tu... (there's a mac/iphone[0] version, not sure if it still works on newer versions of macs tho).
[0]http://itunes.apple.com/us/app/english-country-tune/id476962...