Some of you might have seen this images in its earlier states and some might even recognize it by this thread's title. For all other it is a good opportunity to rediscover one of my favourite unfinished series. I post this here because since I posted it for the last time I could finish five additions.
I want to thank Ryan Binter and Grégoire Pfennig, who helped me to fill two slots with their designs. I will post additional images tomorrow. For now I need some sleep.

I'm not sure I understand how the puzzles in the same column are linked...

Jack

The columns are the same mech, the rows are same shape, if I understand correctly.
Could you post a list of all the names?

Where'd you get the rhombic dodecahedron and triacontahedron dice?

Awesome matrix.

Beautiful your Triacontahedron made out of a 3x3x3!!!!!!!!

In the museum you don't document the 1x1, here they are...

I miss the slot for rex platonics?

What slot did you open on the right side?

Why did you fill the gap for the megaminx with the (deeper cut) PC. The hexaminx is not possible to made out of a PC.

You are correct about the rows but not about the columns. The puzzles of one column share a axis system. All puzzles have two cuts per axis, except the left column which all have one axis. In cases where I have a choice I usually choose the rarer puzzle. Therefore I choose for the Pyraminx Chrystal over the megaminx. I got have used the Starminx as well.
Before I want to post the list of names I want to ask:
Is anybody able to identify the new additions? Who succeed may choose one. Just kidding.
I purchased the first one from shapeways and the latter one from a local role-playing-game-shop.Thank you. The Triacontahedron is one of the non-new puzzles. Regarding the PC and the rex platonics: See further up. The axis system matters, not the mechanism.
The questions marks are for all the slots I miss in my collection but somebody else has already presented a slot-filler. On the rightmost column the question marks stand for the Icosacopter and the Big Kahuna.

There are 10 new members to the matrix. You own 10 new puzzle, but they are not exclusively the new ones to the matrix. Only 1 of the ? remained a ?

viewtopic.php?t=18469

Okay. I consider this presentation of new puzzles as completely failed. Lets try to save what can be saved.

@GuiltyByStander: You are right. Compared with that first version I acquired three puzzles which already had been realised and I acquired seven puzzles which had not been implemented before 2010.

My mistake was to forget to post version 2 of the platonic matrix. Version 1 was digged up by GuiltyByStander.
Version 2 dates from 26th July 2011:
What I finished lately are the differences between version 2 and version 3.

The Pyraminx Crystal right there should be a megaminx Sorry =)

Please note that I ignored the totally empty slots.
First row:
Halpern-Maier-Tetrahedron
Xenomorphix
Master Pyraminx
Pyrainx
Celtic Tetrahedron
Second row:
Skewb
3x3x3
Dino Cube
Hexaminx
Curvy Copter
Third row
Skewb Diamond
Trajbers Octahedron
Face Turning Oct.
Octahinx
EdgeTurningOctahedron
Forth row
Ultimate Skewb
Dodecahedron 3x3x3 (truncated only)
Rexahedron
Pyraminx Chrystal
Dino Dodecahedron
New
Helicopter Dodecahedron
Fifth row
Icosahedron Skewb
Icosahedron 3x3x3
Icosahedral FTO
Icosaminx
Faceturning Icosahedron Missing
New
Icosacopter Missing
Sixth row
RhombicDodecahedron aka Skewb Kite
Rhombic Dodecahedron 3x3x3
Corner Turning Rhombic Dodecahedron
Rhombicinx
Combo CurFaTRhoDo
Seventh row
Rhombic Triacontahedron Skewb
Rhombic Triacontahedron 3x3x3
New
Rhombic Triacontahedron
Skiamond Missing
Big Kahuna Missing