The difference between Peculiar and Usual

When used as adjectives, peculiar means out of the ordinary, whereas usual means most commonly occurring.

Peculiar is also noun with the meaning: that which is peculiar.

check bellow for the other definitions of Peculiar and Usual

Peculiar as an adjective:

Out of the ordinary; odd; strange; unusual.

Examples:

"The sky had a peculiar appearance before the storm."

"It would be rather peculiar to see a kangaroo hopping down a city street."
Peculiar as an adjective:

Common or usual for a certain place or circumstance; specific or particular.

Examples:

"Kangaroos are peculiar to Australia."
Peculiar as an adjective (dated):

One's own; belonging solely or especially to an individual; not shared or possessed by others.
Peculiar as an adjective (dated):

Particular; individual; special; appropriate.

Peculiar as a noun:

That which is peculiar; a sole or exclusive property; a prerogative; a characteristic.
Peculiar as a noun (UK, canon law):

an ecclesiastical district, parish, chapel or church outside the jurisdiction of the bishop of the diocese in which it is situated.

Usual as an adjective:

Most commonly occurring; typical.

Examples:

"The preference of a boy to a girl is a usual occurrence in some parts of China."

"It is becoming more usual these days to rear children as bilingual."