Some of these I've had since a child; others I've collected as an adult.
My fascination as a child started with my mom's original Rubik's Cube and white Pyraminx, and also my dad's Link the Rings. As I was growing up, my mom continued to by me Rubik's merchandise. I also owned a lot of mazes and assembly puzzles, which are not covered on this site.
In 2007, at 26 years old, I rekindled my obsession with Twisty Puzzles when I bought a new Rubik's Professor 5x5x5. I have since ordered a variety of products, including several items from Meffert's and a V-Cube 6.
3X3X3
Rubik's Cube (OddzOn)
Quantity: 10
Official Rubik's Cubes. I also own a number of DIYs, promos, and knockoffs.
4X4X4
5X5X5
Rubik's 5x5x5
Quantity: 1
Mine is lubed and restickered with Cubesmith tiles - Turns like a dream :-)
6X6X6 & UP
V-CUBE 7
Quantity: 2
Two chessboard V-7 Cubes (black/white mods)
CUBE (SHAPE CHANGING)
Get back to Square-1
Quantity: 1
An american based version of the Square-1. It distinguishes itself from the other variants because it was sold in scrambled state.
CUBOID
Magic Domino
Quantity: 1
The 1982 Politoys version with a spindle mechanism.
DODECAHEDRON
Gigaminx
Quantity: 1
The face turning dodecahedron with two layers per face. A Megaminx with an additional layer on each face.
Megaminx (1999)
Quantity: 1
Meffert's 2008 release with stickers instead of tiles
FOUR
Pyraminx (Bienengraeber)
Quantity: 2
The white Meffert's 1981 version. I also own the 25th anniversary black w/ metallic tiles
FOURTEEN
Rainbow Cube
Quantity: 1
A beautiful (but simple) puzzle closely related to the Dino Cube!
TWENTY
Dogic
Quantity: 1
12 Color Meffert's version. Fell apart after I dropped it during solve :-(
PUCKS
IQ 139 Puck
Quantity: 0
I ordered two Puck Puzzles from the UK in 2007, but they never came :-(
USA Puck
Quantity: 1
This version has a United States flag theme.
SPHERE
Ball.B - Grey Dots
Quantity: 1
A mass produced spherical megaminx with a new mechanism. This version has a grey body covered with dots.
CYLINDER
Bump Cheese
Quantity: 1
A bumped variant of the Cheese-puzzle. A six segment prism with one layer.
STAR
Alexander's Star
Quantity: 1
My mother found one on the ground in a parking lot when I was a teenager. Some of the pieces were broken/missing, and it didn't turn well.
HEADS & OBJECTS
MOVING HOLE
Missing Link
Quantity: 1
The tile sliding puzzle from the original cube craze.
MOVING TILES
Puzzler - Novice
Quantity: 1
I owned the Avenger, with 5 different colored ovals
Rubik's Fifteen (XV)
Quantity: 1
Rubik's 15 (XV) is 2 puzzles in one. Arrange the numbers in sequence 1 to 15. On the other side there is a magic square challenge.
FOLDING
BETCHA CAN'T! Flexible Hexagon
Quantity: 1
Flimsy hex-magics. Mine broke within a week, so my mom got me another one, which I was extremely careful with.
Rubik's Snake
Quantity: 1
The original version produced by Politoys.
ELECTRONIC
Luminations
Quantity: 1
A great electronic puzzle while it lasted. Mine finally wore out, sadly...
PATTERN MATCHING
Rubik's Dice
Quantity: 1
A great little puzzle that keep you busy for hours!
OTHER MECHANISMS
Rubik's 360
Quantity: 1
Six coloured balls have to be moved in their matching domes.
Rubik's Triamid
Quantity: 1
Arrange the ten pieces by breaking them into two groups and putting them back together again.
The Brain
Quantity: 1
The object of this puzzle is to get all the sliders either in or out. Several stacked and slotted disks inside the puzzle limit the range of movement at each step.
BOOKS
Unscrambling The Cube III
Quantity: 1
Easy-to-memorize routines.
Pretty Symmetric patterns to construct step-by-step on the cube, full-color.
A step-by-step "racing" solution
FLOPPY SHAPE MOD
Lover's Heart by Smaz
Quantity: 1
Custom Floppy mod shaped like a heart. My first custom built puzzle. Won on ebay :@)
UNKNOWN
15 Puzzle
Quantity: 1
Invented in 1874 - Fifteen squares slide around on a 4x4 grid. Solve the puzzle by placing them in numerical order.