call has 37 distinct synonyms spread across 16 of its 41 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
get or try to get into communication (with someone) by telephone
“I tried to call you all night”
call a meeting; invite or command to meet
“The Wannsee Conference was called to discuss the `Final Solution'”
read aloud to check for omissions or absentees
“Call roll”
send a message or attempt to reach someone by radio, phone, etc.; make a signal to in order to transmit a message
“Hawaii is calling!”
utter a characteristic note or cry
“bluejays called to one another”
stop or postpone because of adverse conditions, such as bad weather
“call a football game”
make a stop in a harbour
“The ship will call in Honolulu tomorrow”
give the calls (to the dancers) for a square dance
indicate a decision in regard to
“call balls and strikes behind the plate”
make a prediction about; tell in advance
“Call the outcome of an election”
require the presentation of for redemption before maturation
“Call a bond”
challenge (somebody) to make good on a statement; charge with or censure for an offense
“He deserves to be called on that”
declare in the capacity of an umpire or referee
“call a runner out”
lure by imitating the characteristic call of an animal
“Call ducks”
order or request or give a command for
“The unions called a general strike for Sunday”
order, summon, or request for a specific duty or activity, work, role
“He was already called 4 times for jury duty”
utter in a loud voice or announce
“He called my name”
challenge the sincerity or truthfulness of
“call the speaker on a question of fact”
consider or regard as being
“I would not call her beautiful”
rouse somebody from sleep with a call
“I was called at 5 A.M. this morning”
a special disposition (as if from a divine source) to pursue a particular course
“he was disappointed that he had not heard the Call”
the characteristic sound produced by a bird
“a bird will not learn its song unless it hears it at an early age”
a brief social visit
“senior professors' wives no longer make afternoon calls on newcomers”
a demand by a broker that a customer deposit enough to bring his margin up to the minimum requirement
a demand for a show of hands in a card game
“after two raises there was a call”
an instruction that interrupts the program being executed
“Pascal performs calls by simply giving the name of the routine to be executed”
(sports) the decision made by an umpire or referee
“he was ejected for protesting the call”
the option to buy a given stock (or stock index or commodity future) at a given price before a given date
Synonyms, antonyms and the broader and narrower relations for call come from Princeton University’s WordNet. Full sources and licences.