Formal:
* Lament at length
* Expostulate at length
* Wail extensively
* Dwell on grievances
* Eloquently enumerate one's woes
* Prolong one's complaints
Informal:
* Go on and on
* Whine endlessly
* Moan and groan
* Have a good old grumble
* Bemoan endlessly
* Make a big fuss
* Rattle on and on
The best choice will depend on the context and the desired tone.