Some algs may be slightly out of date by this point, but I put a lot of work into finding and generating these algorithms years ago-- long before learning EG became appealing and popular. A few have since been updated due to the prompting of Rob Yau.
These algorithms are for the cases in which diagonal pieces in the bottom layer are swapped.
I must credit the enormous Polish Database for leading me to a number of these algorithms.
Pi Cases
F R2' F2 R U R2 U2 R U R U' R2 U' F2 R' U2 R' F F U' R2 F' R2' F' R U2 R
R U' R' U R2 F2 U R U' R2 U2 R U R F2 R2 U' R U2 R' U' R U2 R F2 R2 U' R U' R'
H cases
F2 R U2 R2 F2 R' F2 R2 U2 R U2 F2 R2 R U2 B2 R' U R U' B R'
R U' R2 U' F U' F U' R2 F R
U cases
R' F' U' R U2 R' U F R R' U R' F U' R U' R' U2 R2 F R U R' U' F R2 F2
R' F' U' F U2 L' U2 R U' R R2 B2 R' U R' U' R' F R F' R2 F2 R F' R U R U' R' F
T cases
U F2 R2 F U' R' F R F U R U' R' U2 R' F U R' U' F R2 R' U R' F U' R U R2
U' z' U' R2 U' R2 U R2 U F R' U2 R' U' R U2 F' R U' R2 F R' F2 U' R U' R
L cases
R' U' R' F' R U' R U' R' F R U2 R' F2 U F' U' F2 U' R R U' R' U2 R F U' F U' R' F
R' F' R' F U' F R U R U' R U R' U R' U2 R U' R' U R U' F2 R2 R U2 R2 F R F' R U2 R B2 R2
Sune cases
U' F U' R2 U' R' U2 R U' R2 F' R U R' U R U2 R B2 R2 R U' R' F2 R2 F' R' F' R
U F R2 F' R2' F' R U' R U R2 U' R2 F R' F R2 U' F2 R' F U R' F R2 U R' U' R
Antisune Cases
x U' R2 F R2 F' U R' U2 R' U R' U' R U' R' U2 R' F2 R2 U' F' U' R' U R' U2 F R2
U' R' U R' F R2 F R2 F' R U' R' U2 R2 F2 U R' U' R2 U2 R2 F R2 U' R' F' U' F' R
