On the yahoo speedcubing forum about 14 years back Frédérick Badie introduced the first alg for a "PLL + parity" in one algorithm. Then the rest of the group fill in the rest of the algorithms. Inventor of the algorithms are below the Algorithms.
72 Cases - Formulas (Face moves,Quarter moves, Inner slice moves)
N° : 1
Cases: 2
1/36
(Uu)2 (Rr)2 U2 r2 U2 (Rr)2 (Uu)2 (7,14,1)
SP01 Stefan Pochmann
N° : 2
Caces: 4 1/18
(L2 D x) (Uu)2 (Rr)2 U2 r2 U2 (Rr)2 (Uu)2 (x' D' L2) (11,20,1)
SP02 Stefan Pochmann R2 D' (Rr)2 U2 F2 r2 F2 U2 (Rr)2 D R2 (11,20,1)
FB02 Frédérick Badie
N° : 3
Caces: 2 1/36
u2 r2 (Uu)2 r2 U2 l2 U (r2l2) U' ((rl') (u2d2))*2 (14,25,10)
PKF03 Per Kristen Fredlund r2 Uu2 r2 b2 U' r2 b2 U b2 Uu2 r2 (11,20,7)
CG03 Clément Gallet
N° : 4
Caces: 4 1/18
F2 U (rl') U2 (r'l) U F2 r2 U2 r2 (Uu)2 r2 u2 (13,22,6)
PKF04 Per Kristen Fredlund R2 Uu2 F2 R2 Uu2 F2 R2 U' R2 F2 R2 U' F2 Uu2 (14,26,0)
CG04 Clément Gallet R' U R' U' R' U' R' U R Uu2 U' r2 Uu2 r2 U2 Rr2 (16,22,2)
SP04 Stefan Pochmann
N° : 5
Caces: 16 2/9
R2 D' r2 F2 (r2 (Ff)2)*2 U F2 R2 U R2 U' R2 D (16,27,3)
PKF05 Per Kristen Fredlund z U2 Rr2 R' U2 R' F2 Rr2 R' F2 R U2 Rr2 F2 U2 z' (14,24,0)
CG05 Clément Gallet
N° : 6
Caces: 8 1/9
F2 L' U' L F2 R' D R' D' (Rr)2 U2 r2 (Uu)2 r2 u2 (15,23,3)
PKF06 Per Kristen Fredlund
N° : 7
Caces: 8 1/9
F2 U (Rr)2 U' B2 U' F2 U B2 U' r2 F2 U2 (Rr)2 U' F2 (16,26,1)
FB07 Frédérick Badie
N° : 8
Caces: 4 1/18
(Rr)2 U' F2 R' D R' D' R U' R' U R U' r2 U2 F2 (Rr)2 (16,22,1)
AO08 Alexander Ooms R2 (Uu)2 R2' U' R2 (U'u'd) R2' F2 U' z' r2 F2 R U2 (Rr)2 z (14,24,1)
CG08 Clément Gallet
N° : 9
Caces: 8 1/9
(Rr)2 U' F2 U B2 U' F2 U' r2 U2 B2 (Rr)2 (12,20,1)
AO09 Alexander Ooms (x) (Rr)2' (R U R') D2 (R U' R) (x') U2 r2 U2 B2 (Rr)2 (13,20,1)
FB09 Frédérick Badie
N° : 10
Caces: 4 1/18
B2 L U L' B2 R D' r2 F2 r2 (Ff)2 r2 f2 R D R2 (16,25,4)
PKF10 Per Kristen Fredlund
N° : 11
Caces: 8 1/9
F U F' R2 F U' F' U' R2 U R2 U (Rr)2 U2 r2 (Uu)2 r2 u2 (18,27,3)
PKF11 Per Kristen Fredlund z U2 R' U2 Rr2 B2 R U2 Rr2 R' U2 R2 B2 Rr2 R U2 z' (15,26,0)
CG11 Clément Gallet
N° : 12
Caces: 1 1/72
F U F' R2 F U' F' U' R2 U f2 R2 (f2 (Rr)2)*2 U R2 (18,27,3)
PKF12 Per Kristen Fredlund z F2 Rr2 R' F2 R2 U2 Rr2 R U2 R' F2 Rr2 U2 R F2 z' (15,26,0)
CG12 Clément Gallet
N° : 13
Caces: 1 1/72
(Dd)2 (Ll)2 U' B' U B U2 F U' F' U F' L2 F (Ll)2 U2 (Ll)2 (Dd)2 (18,26,0)
FB13 Frédérick Badie
N° : 14
Caces: 2 1/36
R (Rr)2 F2 L U L' B D L D' B2 U B r2 U2 F2 (Rr)2 R' (18,25,1)
FB14 Frédérick Badie Rr2 f2 U2 Ff2 D Rr2 U2 Ff2 U' Ff2 L2 U2 B2 Ll2 (15,27,1)
CG14 Clément Gallet (Rr)2 f2 U2 (Ff)2 U' (Rr)2 U2 (Ff)2 U (Ff)2 R2 U2 F2 (Rr)2 (14,26,1)
MF14 Michael Fung