My collection started before the Rubik's Cube craze. But it grew slowly, since in the former USSR puzzles were rare finds.
2X2X2
3X3X3
3X3X3 (PICTURE)
4X4X4
5X5X5
6X6X6 & UP
CUBE (SHAPE PRESERVING)
CUBE (SHAPE CHANGING)
RHOMBOHEDRON
CUBOID
OCTAHEDRON
HEXAGONAL PRISM
OTHER EIGHT-SIDED
DODECAHEDRON
RHOMBIC DODECAHEDRON
FOUR
TEN
FOURTEEN
TWENTY
PUCKS
SPHERE
CYLINDER
ROUND CONVEX SHAPES
STAR
HEADS & OBJECTS
OTHER SHAPES
MOVING HOLE
MOVING MARBLES
MOVING TILES
SIAMESE & FUSED
FOLDING
ELECTRONIC
PATTERN MATCHING
OTHER MECHANISMS
BOOKS
GAMES