As far as "puzzles", there are multiple styles: jigsaw, freestanding, tray, etc.
Choice of blade depends on how big you want the kerf. For jigsaw, I use a Flying Dutchman Superior Puzzle because I want a tiny kerf. Tray puzzles for kids, use a bigger blade so the pieces wiggle a bit.
Don't do stand ups, but the folks that do, use a blade that allows even more freedom of movement.
Most important on puzzles is make sure your blade and table are 90 degrees and you don't push to deflect the blade.
Hope this helps.