Overview of all algorithms for corners of first layer and edges of second layer

Explanation

After you built the cross of edges on the first layer, you need to build up two solved layers of the cube. Below you see the algorithms to achieve this.
It works like this: find a corner of the first layer, and find the edge of the second layer that belongs to this corner. Now look in the table below for the correct position and orientation of this corner and edge. You might need to turn the top layer to get a situation from the table.
Below the picture you can find the algorithms that put the corner and edge into their positions and orient them.

I found these algorithms using my CubeSolver applet.
These are definitely the shortest algorithms for the situations. If there are more than ten solutions with the same number of moves, only the most common ones are provided.
I am working on the algorithms for the cases where another corner of the first layer is still free. This could give even shorter algorithms, because then you have more sides to turn without breaking up what has already been solved.
I also have a printable version of these algorithms. It is only one page, and shows the two most common algorithms per situation.
Situations and Algorithms (Green side is front, Red side is right, Grey side is bottom)

code: a01x

R'DR'D2F'R2FD2R2 (9)
R2D2F'R2FD2RD'R (9)
FD'FD2RF2R'D2F2 (9)
F2D2RF2R'D2F'DF' (9)

code: a02

F'D2L'FLD2F (7)
RD2BRB'D2R' (7)
LB2URU'B2L' (7)
BR2DRD'R2B' (7)
DFD'F'D'R'DR (8)
DFDF'D'R'D'R (8)

code: a05

F'D2L'F'LD2F (7)
RD2BR'B'D2R' (7)
L'F2D'F'DF2L (7)
B'L2U'F'UL2B (7)
D'R'D'RDFDF' (8)
D'R'DRDFD'F' (8)

code: a11

F2D2F'D'FD'F'D2F' (9)
R'D2R'D'RD'R'D2R2 (9)
R2D2RF2L'F'LF'R (9)
F2DLD'L'F2R'D'R (9)
R2B'LB'L'B2RD2R (9)
R2D2F'RFD2RD2R (9)
FD2FL2B'L'BL'F2 (9)
FD2FD2RFR'D2F2 (9)
FR'BR'B'R2FD2F2 (9)
FD'F'R2B'D'BDR2 (9)

code: a11x

R2B'D'BDRD'R (8)
R2BRB2DBD2R (8)
R'DRFLD2L'F' (8)
R'B'D2BRFDF' (8)
FD'FDLD'L'F2 (8)
FD2LDL2FLF2 (8)

code: a15

FD'F2RFR' (6)
R'D2RFD2F' (6)
FD2L'FLF2 (6)

code: a15x

D'FD'F'R'D'R (7)
D2F'RFR2D'R (7)
D2R'DB'D2BR (7)
D'R2BRB'D2R (7)

code: a21

R2D2RDR'DRD2R (9)
FD2FDF'DFD2F2 (9)
F2D2F'R2BRB'RF' (9)
R2D'B'DBR2FDF' (9)
F2LB'LBL2F'D2F' (9)
F2D2RF'R'D2F'D2F' (9)
R'D2R'B2LBL'BR2 (9)
R'D2R'D2F'R'FD2R2 (9)
R'FL'FLF2R'D2R2 (9)
R'DRF2LDL'D'F2 (9)

code: a21x

F2LDL'D'F'DF' (8)
R'DR'D'B'DBR2 (8)
FLD2L'F'R'D'R (8)
FD'F'R'B'D2BR (8)
F2L'F'L2D'L'D2F' (8)
R'D2B'D'B2R'B'R2 (8)

code: a22

R'DR2F'R'F (6)
FD2F'R'D2R (6)
R'D2BR'B'R2 (6)

code: a22x

DR'DRFDF' (7)
D2FD'LD2L'F' (7)
D2RF'R'F2DF' (7)
DF2L'F'LD2F' (7)

code: b01

DFD2LD2L'F' (7)
BU'B'DBUB' (7)
D2R'B'D2BD2R (7)
LU2L'D2LU2L' (7)
DR'DRDR'D2R (8)

code: b01x

DR'D'RD'FDF' (8)
DR'BR'B'RD'R (8)
D2R'D'RF'RFR' (8)
D2R'DRDFDF' (8)
D2R'D'RDFD'F' (8)
D2R'D'RD2FD2F' (8)

code: b02

D'R'DR (4)
RF'R'F (4)
D2R'D2R (4)

code: b02x

F'D2F2DF2DF (7)
FD'LD2L'D2F' (7)
DR'D2RD'FDF' (8)

code: b03

F2LDL'D'F2 (6)
D2R'B'D'BD2R (7)
DR'D'RD2R'DR (8)

code: b03x

R2D'B'DBR2 (6)
FD'LDL'D2F' (7)
R2B2U'B'UB'R2 (7)
DR'DRD'FDF' (8)

code: b04

FDF' (3)

code: b04x

R'D'B'D2BD'R (7)
F2D2RF2R'D2F2 (7)
L'F'D'F2DF'L (7)
B'L2F2LF2LB (7)
DR'D2RD2R'DR (8)

code: b05

D'FD'F'DFDF' (8)
R'D'R2F'R'F2DF' (8)
FLB'LBL2D2F' (8)
D'F2UF'DFU'F2 (8)
RFL'F'R'F2LF2 (8)
R'FL'F'RF2LF2 (8)
FL'D'F'DF2LF2 (8)
D2F2DF'DFD2F2 (8)
R'DB'DB2R'B'R2 (8)

code: b05x

R'B'L'DLBR (7)
FD'LD'L'D2F' (7)
FD'F'D2R'D'R (7)
R'D2B'D'BD'R (7)
F2L'UL'U'L2F2 (7)

code: b11

L'ULD'L'U'L (7)
B'U2BD2B'U2B (7)
D'R'D2B'D2BR (7)
D2FLD2L'D2F' (7)
D'FD'F'D'FD2F' (8)

code: b11x

D'FDF'DR'D'R (8)
D'FL'FLF'DF' (8)
D2FDF'RF'R'F (8)
D2FD'F'D'R'D'R (8)
D2FDF'D'R'DR (8)
D2FDF'D2R'D2R (8)

code: b12

DR'DRD'R'D'R (8)
FDF2RFR2D'R (8)
R'B'LB'L'B2D2R (8)
FD'LD'L2FLF2 (8)
DR2U'RD'R'UR2 (8)
FR'BRF'R2B'R2 (8)
F'R'BRFR2B'R2 (8)
R'BDRD'R2B'R2 (8)
D2R2D'RD'R'D2R2 (8)

code: b12x

R'DRD2FDF' (7)
FLBD'B'L'F' (7)
FD2LDL'DF' (7)
R'DB'DBD2R (7)
R2BU'BUB2R2 (7)

code: b13

R'D'R (3)

code: b13x

R2D2F'R2FD2R2 (7)
LB2R2B'R2B'L' (7)
FDLD2L'DF' (7)
BRDR2D'RB' (7)
D'FD2F'D2FD'F' (8)

code: b14

R2B'D'BDR2 (6)
D2FLDL'D2F' (7)
D'FDF'D2FD'F' (8)

code: b14x

F2DLD'L'F2 (6)
R'DB'D'BD2R (7)
F2L2ULU'LF2 (7)

code: b15

DFD'F' (4)
F'RFR' (4)
D2FD2F' (4)

code: b15x

RD2R2D'R2D'R' (7)
R'DB'D2BD2R (7)
D'FD2F'DR'D'R (8)

code: b21

R2D'R2D'R2D2R2 (7)
F2DF2DF2D2F2 (7)
D2R'DB'D'BD'R (8)

code: b21x

R'DRFD2F' (6)
FD'F'R'D2R (6)

code: b22

R'D2RDR'D'R (7)

code: b22x

D2F2D2F'D'FD'F2 (8)
FDFL'F'LD2F' (8)
D2R'B'D'B2R'B'R2 (8)

code: b23

D'R'D2R2F'R'F (7)
D'R'D'BR'B'R2 (7)

code: b23x

FLD2L'F' (5)
D2FDF2RFR' (7)
D2FL'FLF2 (6)
FLD'L'D'F' (6)

code: b24

DFD2F2RFR' (7)
DFDL'FLF2 (7)

code: b24x

R'B'D2BR (5)
R'B'DBDR (6)
D2R'BR'B'R2 (6)
D2R'D'R2F'R'F (7)
D2FDF'R'D'R (7)

code: b25

FD2F'D'FDF' (7)
       

code: b25x

R'D'R'BRB'D2R (8)
D2FLDL2FLF2 (8)
D2R2D2RDR'DR2 (8)