Intensity:
* Loudly: He laughed loudly at the joke.
* Softly: She laughed softly to herself.
* Hard: He laughed hard, tears streaming down his face.
* Hysterically: She laughed hysterically until she cried.
* Uncontrollably: They laughed uncontrollably at the silly skit.
* Quietly: He laughed quietly so as not to disturb anyone.
* Deeply: They laughed deeply at the absurdity of it all.
* Heartily: They laughed heartily at the funny story.
Manner:
* Cheerfully: She laughed cheerfully at the good news.
* Sadly: He laughed sadly at the irony of the situation.
* Nervously: She laughed nervously, hoping to mask her fear.
* Cynically: He laughed cynically at the politician's promises.
* Sarcastically: She laughed sarcastically at his ridiculous claim.
* Contemptuously: He laughed contemptuously at their efforts.
* Wryly: She laughed wryly at his attempts to impress her.
Other:
* Suddenly: She laughed suddenly at the unexpected joke.
* Repeatedly: He laughed repeatedly at the funny video.
* Excitedly: They laughed excitedly at the news.
* Embarrassedly: He laughed embarrassedly when he realized his mistake.
For a more specific effect, consider these:
* Genuinely: She laughed genuinely, her eyes sparkling with joy.
* Infectiously: He laughed infectiously, spreading his good mood to everyone around him.
* Ruefully: He laughed ruefully at his own misfortune.
* Bitterly: She laughed bitterly at the injustice of it all.
Choosing the right adverb depends on the context and the type of laugh you want to describe.