This is one of the finest problems that marked my mind when I was about 12 years old and just starting out in checkers :

White to play and win
The main solution goes
32-27 16-20 27-23 24-27 31x24 20x27 23-18 27-31 17-14 31-27 14x5 6-10 5-1 27-23 1-5 23x14-13-9 and black cannot avoid walking into the shots 1. if 14-18 then 21-17 18x25 17-14 etc W.Win or 2. 15-19 11-8 4x11 9-6 2x9 21-17 W.Wins
And while we are on the subject of problems arising in play here is a beautiful win that I missed in play against Alex Moisyev in our 2001 World qualifier match

Black to play and win
The main line would go : 8-11 9-6 11-16 (I played 15-18 and only drew) 6-2 16-20 32-27 4-8!! 2-7 8-11!!7x16 3-7 Black win