Other ways to say laughed

whoop /wuːp/ verb [ I ]

to give a loud, excited shout, especially to show your enjoyment of or agreement with something

The audience was whooping and clapping.

  

whoop it up - informal

to enjoy yourself in a noisy and excited way

whoop /wuːp/ noun [ C ]

a loud, excited shout, especially showing your enjoyment of or agreement with something

When the whoops and cheers had finally died down he started to speak.  

whoopee /ˈwʊp.i/ /ˈwuː.pi/ exclamation

a loud, excited shout of happiness

Whoopee, it's the holidays!

whoops /wʊps/ exclamation ( also oops ) informal

an expression of surprise or feeling sorry about a mistake or slight accident

Whoops! That's the second time I've spilt coffee today!

whooping cough /ˈhuː.pɪŋˌkɒf/ /-ˌkɑːf/ noun [ U ]

a disease caught especially by children, which causes severe coughing

guffaw /gʌfˈɔː/ /-ˈɑː/ verb [ I ]

to laugh loudly, especially at something stupid that someone has said or done

He guffawed with delight when he heard the news.

 guffaw noun [ C ] She let out a loud guffaw.

grin /grɪn/ noun [ C ]

a wide smile

I assumed things had gone well for him as he had a big grin on his face.

a broad/sheepish grin

 grin /grɪn/ verb [ I ] -nn-

to smile a wide smile

He grinned at me from the doorway.

What are you grinning about?

grin and bear it - Idiom

to accept something bad without complaining

I really don't want to go but I guess I'll just have to grin and bear it.

grin/smile from ear to ear - Idiom

to look extremely happy

'We've had a fantastic response,' he said, grinning from ear to ear.

  

bellow /ˈbel.əʊ/ /-oʊ/ verb [ I or T ]

to shout in a loud voice, or (of a cow or large animal) to make a loud, deep sound

[ + speech ] "Keep quiet!" the headmaster bellowed across the room.

We could hear the sergeant bellowing commands to his troops.

 bellow noun [ C ]

He gave a bellow of rage.

chuckle /ˈtʃʌk.l ̩/ verb [ I ]

to laugh quietly

She was chuckling as she read the letter.

chuckle noun [ C ]

He gave a chuckle in response to her question.

snigger /ˈsnɪg.ə r / /-ɚ/ verb [ I ] ( US also snicker )

to laugh at someone or something in a silly and often unkind way

They spent half the time sniggering at the clothes people were wearing.

What are you two sniggering at/about ?

 snigger noun [ C ]

We were having a snigger at the bride who was rather large and dressed in a tight pale pink dress.

  

shriek /ʃriːk/ noun [ C ]

a short, loud, high cry, especially one produced suddenly as an expression of a powerful emotion

shrieks of delight

He suddenly let out a piercing shriek.

shriek /ʃriːk/ verb [ I or T ]

to make such a cry

We shrieked with laughter when we realized how stupid we'd been.

I tried to apologize, but he just shrieked abuse at me.

[ + speech ] "Don't you dare do that ever again!" she shrieked.

cackle /ˈkæk.l ̩/ verb [ I ]

1. to make the loud, unpleasant sound of a chicken

The hens cackled in alarm.

2. disapproving to laugh in a loud, high voice

A group of women were cackling in a corner.

a cackling witch 

chortle /ˈtʃɔː.tl ̩/ /ˈtʃɔːr.t ̬l ̩/ verb [ I ]

to laugh, showing pleasure and satisfaction, often at someone else's bad luck

She chortled with glee at the news.

chortle noun [ C ]

I thought I heard a chortle at the back of the room.