correct, proper, right
wrong
logical
The paragraphs are not in a logical order.

ascending
arranged in ascending order of size

descending
alphabetical, chronological, numerical, random, reverse
pecking
the pecking order among the hospital staff

rank
the top ten groups, in rank order

word
running
Where am I in the running order?

batting (sports)

change
I think you should change the order of these paragraphs.

in order
The winners were announced in reverse order.

in order of
I've listed the tasks in order of priority.

out of order
The episodes were shown out of order.

apple-pie (= perfect)
The accounts were in apple-pie order.

bring, create, impose
to bring order out of chaos
She attempted to impose some order on the chaos of her files.

put sth in, set sth in

in order
My notes are in order.

in good order
The house is in good order.

civil, public

keep, maintain, preserve
restore
keep sb/sth in
Some teachers find it difficult to keep their classes in order.

call sth to
The argument continued until the chairman called the meeting to order (= ordered them to obey the formal rules).

in order (= acceptable)
Would it be in order for us to examine the manuscript?
Is everything in order, sir?
I think a drink would be in order.
Is your work permit in order?

out of order
The objection was ruled out of order (= not allowed by the rules).
He accepted that he'd been out of order (= he had behaved unacceptably). (BrE,informal)

law and order
a point of order
One of the committee members raised a point of order.

established, existing, old
He was seen as a threat to the established order.

new
natural
the natural order of things

economic, moral, political, social
international, world
a new world order

direct, specific, strict
executive
sealed
He opened his sealed orders.

court
gag, gagging (BrE)
exclusion (BrE), maintenance (BrE), preservation (BrE), restraining (esp. AmE)
a wildlife preservation order
The court issued a restraining order against Pearson.

give, issue, make (law, esp. BrE)
The captain gave the order to fire.
The judge made an order for the costs to be paid.

sign
slap
The building has had a preservation order slapped on it. (BrE)

enforce
await
get, receive
obtain
His lawyer had to obtain a court order to get access to her client.

carry out, execute, follow, obey, take
The local civilians don't take orders from the military.

disobey, ignore, violate
cancel
countermand, rescind, revoke (esp. BrE)
bark, bark out, shout, shout out
He barked out orders as he left.

by order of (formal)
by order of the police

on sb's orders
The ship was to set sail at once, on the admiral's orders.

under orders from
A group of soldiers, under orders from the president, took control of the television station.

orders for
The colonel had given orders for the spy's execution.

doctor's orders
I'm not to drink any alcohol—doctor's orders!

get your marching orders (= be ordered to leave), give sb their marching orders

bulk, large, record (esp. BrE)
small
firm
advance
back, outstanding (esp. BrE)
repeat
tall (= difficult to fulfill; unreasonable)
That's a tall order!

mail, money, postal (BrE), standing
purchase
export

place, put in, send
I've placed an order for the CD.

cancel
get, receive, win
The company won a $10 million order for oil-drilling equipment.

have
complete, fill, fulfil/fulfill, meet
We're trying to fill all the back orders.

make sth to
kitchen cupboards made to order

form
book (usually figurative)
We have a full order book for the coming year.

on order
We have ten boxes on order.

to order
The chairs can be made to order (= when a customer orders one).

order for
We have a firm order for ten cases of wine.

side
a side order of mixed salad

short (= that can be prepared quickly)
a short-order cook

last orders (esp. BrE)
Last orders at the bar now, please!

take
The waiter finally came to take their orders.

give sb

order for
an order for steak and fries

monastic, religious
contemplative
closed (= with little or no contact with the outside world)
Benedictine, Cistercian, etc.

specifically
immediately
personally
The general had personally ordered the raid.

formally
about (esp. BrE), around
Stop ordering me around!

back, home, off, out
He was ordered off for bringing down the striker. (BrE,sports)

off, out of
All foreign journalists have been ordered out of the country.

direct, directly
online
All our products can be ordered online.

for
We can order the book for you, if you like.

from
You can order the book direct from the publisher.

alphabetically, chronologically, hierarchically, logically
The entries are ordered alphabetically.

according to
Different senses of a word are ordered according to frequency.

highly ordered, well ordered
She led a highly ordered existence, with everything having its own time and place.

Order is used with these nouns as the subject:
coroner, court, injunction, judge, magistrate, tribunal

Order is used with these nouns as the object:
acquittal, advance, appetizer, arrest, assassination, beer, cab, catalogue, ceasefire, copy, court martial, crackdown, cup, curfew, death, dessert, dish, drink, enquiry, execution, expulsion, extradition, food, halt, inquest, investigation, killing, lunch, murder, pint, removal, retreat, review, round, sandwich, scan, servant, slaughter, soda, starter, suspension, taxi, trial, troops, wine, withdrawal