Intensity:
* Loudly
* Softly
* Hard
* Deeply
* Forcefully
* Gently
* Quietly
* Stifledly
Nature:
* Contagiously
* Hysterically
* Joyfully
* Sadly
* Bitterly
* Ironically
* Sarcastically
* Wickedly
* Nervously
* Uncomfortably
Sound:
* Ringly
* Gurglingly
* Snortingly
* Chokingly
* Whimperingly
Action:
* Repeatedly
* Suddenly
* Spontaneously
* Uncontrollably
* Incredulously
* Delightedly
* Playfully
Other:
* Warmly
* Honestly
* Embarrassedly
* Humbly
* Angrily
* Confusedly
You can combine these adverbs to create even more nuanced descriptions, for example: "She laughed loudly and uncontrollably, tears streaming down her face."
Remember that the best adverb to use will depend on the specific context and the feeling you want to evoke.