Here are Kim's combos.
NORMAL COMBOS
cA, qcb A (x3)
, 
, ,
cA, qcb C (x3)
, 
, ,
cB, cA, qcf (x2) K, (juggle) (qcb, db, f K)
, , 
, 
sC, qcb C, uf K, d K
(2 hits), , 
,
sC (2 hits), (qcb, db, f K)
(2 hits),
sC, qcb B, (qcb, db, f K)
(2 hits), ,
sC (2 hits), qcf (x2) K, (juggle) (qcb, db, f K)/(air) qcf K/(du D, dD)
(2 hits), , /jump /
sC (2 hit), qcb B, qcf (x2) K, (juggle) (qcb, db, f K)/(air) qcf K/(du D, dD)
(2 hits), , , /jump /
MAX COMBOS
BC, sB, qcb C (x3), (qcb, db, f K/BD)
, , , , ,
BC, sA, qcb P, qcb B, (qcb, db, f K/BD)
, , , ,
BC, cB cA/sB (2 hits)/sC, qcb C (x2), uf K, (qcb, db, f K/BD)
, // (2 hits), , , ,
sC, BC, Run sC, dd K, qcb B, qcf (x2) K, (air) qcf K/(juggle) (qcb, db, f K/BD)
, , Run , , , , /jump /
MAX CORNER COMBOS
BC, sC, qcb C, qcb B, qcb C, qcb D
, , , , ,
BC, sC, qcb C (x2), qcb D, du D, (air) dD
, , , , ,
BC, sB, dd B, qcb K, qcb C (x3), (qcb, db, f K/BD)
, , , , , , ,
BC, sC, qcb C (x2), qcb B, qcf (x2) D, (air) qcf D, (qcb, db, f K/BD)
, , , , , , jump ,
BC, sC, qcb C (x2), qcb B, qcb C, qcb C (will miss), qcb C, (qcb, db, f K/BD)
, , , , , , (will miss), ,
sC, BC, Run sC, qcb C, qcb B, qcb C, qcb D
, , Run , , , ,
sC, BC, Run sC, qcb C (x2), qcb D, du D, (air) dD
, , Run , , , ,
sC, BC, Run sC, qcb C (x2), qcb B, qcf (x2) D, (air) qcf D, (qcb, db, f K/BD)
, , Run , , , , , jump ,
sC, BC, Run sC, qcb C (x2), qcb B, qcb C, qcb C (will miss), qcb C, (qcb, db, f K/BD)
, , Run , , , , , (will miss), ,