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 (Red side is top, Green side is front, Grey side is right)

code: a01x

U'RU'R2F'U2FR2U2 (9)
U2R2F'U2FR2UR'U (9)
FR'FR2UF2U'R2F2 (9)
F2R2UF2U'R2F'RF' (9)

code: a02

F'R2D'FDR2F (7)
UR2BUB'R2U' (7)
DB2LUL'B2D' (7)
BU2RUR'U2B' (7)
RFR'F'R'U'RU (8)
RFRF'R'U'R'U (8)

code: a05

F'R2D'F'DR2F (7)
UR2BU'B'R2U' (7)
D'F2R'F'RF2D (7)
B'D2L'F'LD2B (7)
R'U'R'URFRF' (8)
R'U'RURFR'F' (8)

code: a11

F2R2F'R'FR'F'R2F' (9)
U'R2U'R'UR'U'R2U2 (9)
U2R2UF2D'F'DF'U (9)
F2RDR'D'F2U'R'U (9)
U2B'DB'D'B2UR2U (9)
U2R2F'UFR2UR2U (9)
FR2FD2B'D'BD'F2 (9)
FR2FR2UFU'R2F2 (9)
FU'BU'B'U2FR2F2 (9)
FR'F'U2B'R'BRU2 (9)

code: a11x

U2B'R'BRUR'U (8)
U2BUB2RBR2U (8)
U'RUFDR2D'F' (8)
U'B'R2BUFRF' (8)
FR'FRDR'D'F2 (8)
FR2DRD2FDF2 (8)

code: a15

FR'F2UFU' (6)
U'R2UFR2F' (6)
FR2D'FDF2 (6)

code: a15x

R'FR'F'U'R'U (7)
R2F'UFU2R'U (7)
R2U'RB'R2BU (7)
R'U2BUB'R2U (7)

code: a21

U2R2URU'RUR2U (9)
FR2FRF'RFR2F2 (9)
F2R2F'U2BUB'UF' (9)
U2R'B'RBU2FRF' (9)
F2DB'DBD2F'R2F' (9)
F2R2UF'U'R2F'R2F' (9)
U'R2U'B2DBD'BU2 (9)
U'R2U'R2F'U'FR2U2 (9)
U'FD'FDF2U'R2U2 (9)
U'RUF2DRD'R'F2 (9)

code: a21x

F2DRD'R'F'RF' (8)
U'RU'R'B'RBU2 (8)
FDR2D'F'U'R'U (8)
FR'F'U'B'R2BU (8)
F2D'F'D2R'D'R2F' (8)
U'R2B'R'B2U'B'U2 (8)

code: a22

U'RU2F'U'F (6)
FR2F'U'R2U (6)
U'R2BU'B'U2 (6)

code: a22x

RU'RUFRF' (7)
R2FR'DR2D'F' (7)
R2UF'U'F2RF' (7)
RF2D'F'DR2F' (7)

code: b01

RFR2DR2D'F' (7)
BL'B'RBLB' (7)
R2U'B'R2BR2U (7)
DL2D'R2DL2D' (7)
RU'RURU'R2U (8)

code: b01x

RU'R'UR'FRF' (8)
RU'BU'B'UR'U (8)
R2U'R'UF'UFU' (8)
R2U'RURFRF' (8)
R2U'R'URFR'F' (8)
R2U'R'UR2FR2F' (8)

code: b02

R'U'RU (4)
UF'U'F (4)
R2U'R2U (4)

code: b02x

F'R2F2RF2RF (7)
FR'DR2D'R2F' (7)
RU'R2UR'FRF' (8)

code: b03

F2DRD'R'F2 (6)
R2U'B'R'BR2U (7)
RU'R'UR2U'RU (8)

code: b03x

U2R'B'RBU2 (6)
FR'DRD'R2F' (7)
U2B2L'B'LB'U2 (7)
RU'RUR'FRF' (8)

code: b04

FRF' (3)

code: b04x

U'R'B'R2BR'U (7)
F2R2UF2U'R2F2 (7)
D'F'R'F2RF'D (7)
B'D2F2DF2DB (7)
RU'R2UR2U'RU (8)

code: b05

R'FR'F'RFRF' (8)
U'R'U2F'U'F2RF' (8)
FDB'DBD2R2F' (8)
R'F2LF'RFL'F2 (8)
UFD'F'U'F2DF2 (8)
U'FD'F'UF2DF2 (8)
FD'R'F'RF2DF2 (8)
R2F2RF'RFR2F2 (8)
U'RB'RB2U'B'U2 (8)

code: b05x

U'B'D'RDBU (7)
FR'DR'D'R2F' (7)
FR'F'R2U'R'U (7)
U'R2B'R'BR'U (7)
F2D'LD'L'D2F2 (7)

code: b11

D'LDR'D'L'D (7)
B'L2BR2B'L2B (7)
R'U'R2B'R2BU (7)
R2FDR2D'R2F' (7)
R'FR'F'R'FR2F' (8)

code: b11x

R'FRF'RU'R'U (8)
R'FD'FDF'RF' (8)
R2FRF'UF'U'F (8)
R2FR'F'R'U'R'U (8)
R2FRF'R'U'RU (8)
R2FRF'R2U'R2U (8)

code: b12

RU'RUR'U'R'U (8)
FRF2UFU2R'U (8)
U'B'DB'D'B2R2U (8)
FR'DR'D2FDF2 (8)
RU2L'UR'U'LU2 (8)
FU'BUF'U2B'U2 (8)
F'U'BUFU2B'U2 (8)
U'BRUR'U2B'U2 (8)
R2U2R'UR'U'R2U2 (8)

code: b12x

U'RUR2FRF' (7)
FDBR'B'D'F' (7)
FR2DRD'RF' (7)
U'RB'RBR2U (7)
U2BL'BLB2U2 (7)

code: b13

U'R'U (3)

code: b13x

U2R2F'U2FR2U2 (7)
DB2U2B'U2B'D' (7)
FRDR2D'RF' (7)
BURU2R'UB' (7)
R'FR2F'R2FR'F' (8)

code: b14

U2B'R'BRU2 (6)
R2FDRD'R2F' (7)
R'FRF'R2FR'F' (8)

code: b14x

F2RDR'D'F2 (6)
U'RB'R'BR2U (7)
F2D2LDL'DF2 (7)

code: b15

RFR'F' (4)
F'UFU' (4)
R2FR2F' (4)

code: b15x

UR2U2R'U2R'U' (7)
U'RB'R2BR2U (7)
R'FR2F'RU'R'U (8)

code: b21

U2R'U2R'U2R2U2 (7)
F2RF2RF2R2F2 (7)
R2U'RB'R'BR'U (8)

code: b21x

U'RUFR2F' (6)
FR'F'U'R2U (6)

code: b22

U'R2URU'R'U (7)

code: b22x

R2F2R2F'R'FR'F2 (8)
FRFD'F'DR2F' (8)
R2U'B'R'B2U'B'U2 (8)

code: b23

R'U'R2U2F'U'F (7)
R'U'R'BU'B'U2 (7)

code: b23x

FDR2D'F' (5)
R2FRF2UFU' (7)
R2FD'FDF2 (6)
FDR'D'R'F' (6)

code: b24

RFR2F2UFU' (7)
RFRD'FDF2 (7)

code: b24x

U'B'R2BU (5)
U'B'RBRU (6)
R2U'BU'B'U2 (6)
R2U'R'U2F'U'F (7)
R2FRF'U'R'U (7)

code: b25

FR2F'R'FRF' (7)
       

code: b25x

U'R'U'BUB'R2U (8)
R2FDRD2FDF2 (8)
R2U2R2URU'RU2 (8)