E-mail is not broken, but we'll continually try to convince ourselves that our inabilities to be collaborative and communicate properly is because we're not given the right medium to do so. This is bullshit. People who are terrible at communication will continue to be terrible at communication regardless of what tool they use.
The hammer isn't broken, the carpenter is. Fix the carpenter.
EDIT: I should add - I see many tools that try to replace e-mail aren't largely trying to fix the problems with communication, but rather they are trying to assign accountability. This is great for bosses (or "controllers"), but not necessarily great for everyone. I've simplified this too much and could go into way more detail if I had the time.