Generally buret = medium-large volumes and pipet = small volumes.
Pipets are no less inherently accurate than a buret, and I believe would be considered more accurate.
Pipets can be designed/calibrated to .25/.5/.1ul -> 10ml
Burets would also be useful for any type of titration where you're not sure how much liquid you're going to use as pipets are an "all or nothing" (generally speaking) instrument where you can use as much of the buret as you need and know how much you used after.