Hit any regular barrel before hitting any explosive barrel
Stage 2
Any explosive barrel in the lower right
Stage 3
Still working on this one. Worth using a Special Swing on this stage, though.
Stage 4
Hit any of the 3 regular barrels at the centre-bottom of the board, then hit any explosive barrel.
Stage 5
Hit the regular barrel in the very bottom left corner, and then hit both the downwards-facing and right-facing rocket barrels in the top left. Requires aiming directly between them.
Stage 6
Seems like the minimum to clear the board here is 2 shots.