ShiroKuro Sometimes I do the mini crossword but usually not the full one, there are too many US pop cultural references that I have zero knowledge of. I probably won’t be much better with British ones…
The good news is that cryptics have WAAAY less pop culture trivia in them. And for 95% of the clues, being American isn't a handicap (and on occasion is even a benefit). Every clue you solve in a cryptic will feel like an accomplishment, so don't worry if you can't solve everything.
You may be narked by how many Britishisms pop up. It may feel like such a faff, but soldier on, and you will be chuffed when you've got the knack, because then Bob's your uncle.