According to this guy at Google IO, using AsyncTask for networking is not the way to go. He may give his presentation with an annoying & condescending tone, but nonetheless has some good points.
IMO the leading libraries to use are android-async-http and robospice.
DISCLAIMER: I haven't tried either of these yet. While I like the API of android-async-http better, it seems like Robospice was more recently developed and supports better libraries.
I may end up rolling my own that extends IntentService
.