The puzzle itself is somewhat gimmicky, but I think there’s potentially interesting variations of the idea.
Each grid obeys regular Skyscrapers rules. Additionally, the numbers in the rightmost column of the grid on the left act as clues for the grid on the right, and vice versa.
Here’s a Masyu variation. If you want to, you can move the white pearl in the top-left corner to make the grid fully antisymmetric, but I like it better with the defect.
Regular No U-Turn Masyu rules.
Here’s a Regional Yajilin. You should expect a couple of tricky steps.
Regular Regional Yajilin rules.
As the previous one, made for the sake of practise. I think I like this one better.
Regular Crosslink rules.
Neither one has a fully symmetric clue layout, but I’m happy with them as they are.
Regular Masyu rules.
The full title of this one is Alternating Liars Masyu. In addition to regular Masyu rules, half the clues are liars: that is, a liar white pearl acts like a black pearl, and vice versa. The loop must alternate between truthful and liar pearls: going around the loop, every other pearl must be a liar.
This one is an Alternating Masyu. In addition to regular Masyu rules, the loop must alternate between white and black pearls: going around the loop, every other pearl must be black.
While using guesswork might be tempting, there is a particular insight this puzzle was built around.
This one’s one of my favourites from the hard end of the difficulty spectrum. However, you’ll need a little bifurcation, so consider yourself warned.
Regular Regional Yajilin rules. However, the clues have been encrypted: different letters stand for different numbers (possibly zero), and same letters stand for the same number. Determining which letter stands for which number is part of the puzzle.