Recommended Cross-Class setups for Coil:

BLM
Quelling Strikes (ARC 34)
Raging Strikes (ARC 4)
Physick (ACN 4)
Virus (ACN 12)
Eye for an Eye (ACN 34)

BRD:
Invigorate (LNC 22)
Blood for Blood (LNC 34)
Second Wind (PGL 8)
Internal Release (PGL 12)
Mantra (PGL 42)

DRG:
Second Wind (PGL 8),
Internal Release (PGL 12)
Mantra (PGL 42)
Foresight (MRD 2)
Mercy Stroke (MRD 26)

MNK:
Invigorate (LNC 22)
Blood for Blood (LNC 34)
Fracture (MRD 6)
Foresight (MRD 2)
Mercy Stroke (MRD 26)

PLD:
Foresight (MRD 2)
Bloodbath (MRD 8)
Mercy Strike (MRD 26)
Stoneskin (CNJ 34)

SCH
Surecast (THM 8)
Swiftcast (THM 26)
Cleric Stance (CNJ 6)

SMN
Swiftcast (THM 26)
Raging Strikes (ARC 4)
Quelling Strikes (ARC 34)
Surecast (THM 8)

WAR
Convalescence (GLD 10)
Provoke (GLD 22)
Featherfoot (PGL 4)
Internal Release (PGL 12)
Mantra (PGL 42)
{Other options: Second Wind (PGL 8), Awareness (GLD 34)}

WHM
Surecast (THM 8)
Swiftcast (THM 26)
Virus (ACN 12)
Eye for an Eye (ACN 34)

Will elaborate on this later.