Is there any human organization that is not making the world worse in one way or another? Its pretty much relative in any case, hardly purely evil or purely good unless you are very naive or very young.
A lot of the work is sorting the incoming goods. Much of this work is done by volunteers. As a result it isn't uncommon for spoiled food to accidentally be stocked and distributed to people. It is a rare but not infrequent occurrence to have someone get sick and report back to the food bank.
Not unequivocally good! :]
EDIT: I see from your profile you're not in the US, which is probably the source of the confusion. Examples of Public Broadcasting are https://www.npr.org and https://www.pbs.org.
Maybe not quite as strongly so as the NYT, but it was definitely there.
I live in the UK, and the BBC is definitely propaganda.
I also agree with you that private broadcasters can definitely be worse.
OTOH, it's a vicious circle: you cannot fix society without fixing propaganda, and if the propaganda is any good, you cannot fix propaganda without fixing society (most people will lend an ear to it, believe it, parrot it, support it, work for it, etc.)... so we just have to learn to live with it :/
There are plenty of organizations that mostly do good. To pick the first example that comes to mind, Partners in Health.