The answer to this question varies depending on the context and perspective.
I think in terms of environment, economics and misanthropy, the world is indeed getting worse. Resources will become more and more scarce as both CO2 emissions and overpopulation rise simultaneously, potentially leading to a fight for survival. The recession in the West continues. The job & market fair is increasingly getting more competitive, not just due to overpopulation but also the number of people with university degrees, the result being us having to work more for less in the future, or in other words, more than the previous generations just to keep up. Misanthropy and cynicism seem to be on the rise, as we continue to view our very own humanity as a disease (statements like "humanity is stupid", "all we do is take up space" and "a meteor should just hit us" are heard almost daily). There was a pole result taken on whether or not we should eventually colonize space. A surprising number of people voted "no" with their reason being that we'd just waste the cosmos' resources like we did on Earth. Which when analyzed, it's really just another way of saying "We deserve extinction, might as well quarantine ourselves here". Depression and stress are also on the rise, due to said factors.
If the world is getting worse in any way, if we will ever face destruction in the near future, it will be because of those three factors. It doesn't matter how much we solve our other problems if those specific problems aren't taken care of, in my opinion, because they will be there to take care of us regardless.
However, often when this question is asked people are looking at it from a more philosophical perspective as opposed to the perspective I just offered. The more accurate thread title should be "Are we/people getting worse?", because that's clearly what everyone is discussing for the most part. Even the OP has approached that question from a human perspective. So for the remaining part of this post, I will answer the question from that same perspective, unless otherwise stated.
No, I don't think the world is getting worse. On the contrary, I think it is getting better.
Aside from the statistics others have brought up regarding there being less poverty, diseases, crime, etc. than in the past, I think we are becoming less socially conservative and more open minded. There is less bigotry in general, more equal rights for women and minorities, more acceptance towards homosexuals and beliefs that go against the traditional "norm". Skepticism towards institutions and groups in power, such as religion as government, is not just becoming more common but trendy. We're better at grasping the idea no one is above criticism and people/ideas should never be blindly followed, which has in turn helped us engage in more critical independent thinking.
The "good ol' days" we hear older generations talk about, and even a lot of the younger ones, are really a myth. BRAB summed them up nicely as the "nostalgia days where people could walk the streets, bible in one hand, gun in the other, praising God's country, where kids could walk around without being abducted, the good old dream o' freedom." In reality, all supposed good ol' days are envisioned by selective truth. We love to talk about how more peaceful it was in the 1950's and 60's, but forget about the Civil Rights Movement and Vietnam. We love to bring up the lack of panic over radical Islam, but forget about the panic initiated by fascism and Communism.
Obviously we're far away from ridding ourselves of the brought-up problems for good, but we've come a long way and it looks as if we'll continue to minimize them as we progress into the future.
That's my opinion on the topic.