All AroundA puzzle like the "Lord of the Rings":
"One Puzzle to rule them all, One Puzzle to combine them,
One Puzzle to to make them useless"
Alternating CubeA 2x2x2 which allows only clockwise and counterclockwise turn alternatingly.
Alternating SkewbA Skewb which allows only clockwise and anti-clockwise turns in alternating order.
Ambigear CubeA 4x4x4 with "ambiguous gearing" which forces connected movement on one axis.
Anarchy CubeA cube meant to be a challenge. Can it be twisted into a cube?
AntiRainbowA puzzle with an unusual shape that allows the puzzle to be faceturning despite its hybrid axis system.
Asym Corners (84210)A 3x3x3 with asymmetrically truncated corners. It has only the rotational symmetry (of 90°) along with respect to one face.