general, total
relative
benign
The 18th-century interior of the building has survived through benign neglect.

serious (esp. BrE), wilful/willful
emotional, physical
medical
Medical neglect occurs when medical care is withheld.

child
The maximum penalty for child neglect is ten years' imprisonment.

parental
children who are victims of deliberate parental neglect

suffer, suffer from
The buildings suffered neglect for centuries.

be guilty of
The doctor was guilty of serious neglect of duty.

by neglect
cruelty by neglect

through neglect
the suffering of children through neglect

neglect of
Abuse, domestic violence and neglect of children took place.

to the neglect of
She had concentrated on her music to the neglect of her other studies.

centuries of neglect, years of neglect
After years of neglect the house is at last being restored.

neglect of duty
He was reprimanded for neglect of duty.

grossly (formal), seriously
completely, entirely, totally
largely
generally
These are subjects generally neglected by historians.

conveniently (ironic), deliberately, wilfully/willfully (esp. BrE)
They conveniently neglected their responsibilities.

hitherto, previously

tend to
cannot afford to
This sector is one of the major growth areas and we cannot afford to neglect it.

in favour/favor of
Local communities have been neglected in favour/favor of private sector interests.

Neglect is used with these nouns as the object:
aspect, child, detail, duty, effect, responsibility