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.
Official Rubik's Cubes. I also own a number of DIYs, promos, and knockoffs.
Mine is lubed and restickered with Cubesmith tiles - Turns like a dream :-)
6X6X6 & UP
Two chessboard V-7 Cubes (black/white mods)
CUBE (SHAPE PRESERVING)
The 1982 Politoys version with a spindle mechanism.
CUBE (SHAPE CHANGING)
The 1994 Irwin Toys version.
The face turning dodecahedron with two layers per face. A Megaminx with an additional layer on each face.
Meffert's 2008 release with stickers instead of tiles
The white Meffert's 1981 version. I also own the 25th anniversary black w/ metallic tiles
Arrange the ten pieces by breaking them into two groups and putting them back together again.
A beautiful (but simple) puzzle closely related to the Dino Cube!
12 Color Meffert's version. Fell apart after I dropped it during solve :-(
IQ 139 Puck
I ordered two Puck Puzzles from the UK in 2007, but they never came :-(
This version has a United States flag theme.
Ball.B - Grey Dots
This version features two-tone grey plastic with dots of 12 different colours painted on the five dark grey "edge" pieces surrounding each of the twelve centers. The light grey "corner" pieces have no markings.
Starting with all six balls inside the center sphere and the locking rings open, the challenge is to move the balls into their matching coloured domes on the outside.
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
Probably the most popular tile sliding puzzle ever.
Puzzler - Novice
I owned the Avenger, with 5 different colored ovals
Rubik's Fifteen (aka: XV)
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.
BETCHA CAN'T! Flexible Hexagon
Flimsy hex-magics. Mine broke within a week, so my mom got me another one, which I was extremely careful with.
A great electronic puzzle while it lasted. Mine finally wore out, sadly...
A great little puzzle that keep you busy for hours!
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 in the puzzle.
FLOPPY SHAPE MOD
Lover's Heart by Smaz
Custom Floppy mod shaped like a heart. My first custom built puzzle. Won on ebay :@)
Invented in 1874 - Fifteen squares slide around on a 4x4 grid. Solve the puzzle by placing them in numerical order.