I haven't heard of those types of puzzles! I need to look them up. I enjoy doing a lot of different puzzles.
If you're into engineering type of games there is a cute one (but hard!) for your phone (I use BlueStacks emulator on my computer to play) called Guinea Pig Bridge. You have to build a bridge using given tools to get the guinea pigs across various obstacles! So cute.
That sounds like a variation on the theme of the old game Lemmings. Don't know if you remember Lemmings - where the lemmings would just walk unless there was something specific to stop or redirect them, and they would literally walk off a cliff edge if they were allowed to. You had to use the tools available to save a sufficient number of them from certain death.
All of the games are very simple in concept but not necessarily simple to solve.
With sudoku you have a 9x9 grid, divided into nine 3x3 grids (kind of like a giant tic-tac-toe board with a smaller board inside each square), with a few numbers provided. You have to fill in the rest of the numbers such that the numbers 1-9 appears once and only once in each row, column and small square.
Kakuro is like a crossword for numbers. It also features the numbers 1-9 but for each run you get the total of all the digits in that section. You can only use each number once in each section. So if you've got three numbers and a total of 6 you know they have to be 1,2,3. If you've got three numbers totalling 8 they could be 1,2,5 or 1,3,4. And so on
Masyu features a grid with black circles and white circles and you have to draw a single line joining them all up. You can't turn inside a white circle but must turn 90 degrees in the square immediately before or immediately after it (or both). You must turn 90 degrees inside a black circle and cannot turn for at least one square either side. I like masyu puzzles.
Nurikabe is about making islands in a big sea of emptiness based on knowing how many squares are in each island (and where the sea must be a continuous shape that never features a 2x2 square or larger).
Hitori is about making sure there is only one instance of any number in any row or column of a prefilled grid. I don't like those ones so much.
