I actually have the Skeptics Annotated bible in hardcover; I love it! I wish they had used a translation that’s more accessible for the layperson, like the CEV or NIV instead of the KJV, but that’s the translation fundamentalists often use so I understand why they chose it.
Don't get me wrong, I'm not a Christian, I just have some background in Biblical scholarship from what feels like a past life ago. I'm all for a pragmatic and skeptical approach to Biblical history, literalism, ethics and moral philosophy, and there are many things in canonical Christian scripture that do not align with our modern values (polygamy, blood sacrifice, generational revenge, slavery, social castes, divine right, etc.), I'm just of the opinion that Biblical criticism should be as academically accurate as possible otherwise you're just falling into the same interpretive bias trap fundamentalists always fall headfirst into. There are still many criticisms that can be made of scripture that don’t rely on shallow understandings of the text or its context, the language, the period, and the history and culture in which and for which it was written.
Skimming the list you linked, there are certainly many unnecessarily cruel acts of violence referenced, but I also see many acts of violence that are a bit disingenuous to use as examples of unjust violence (unless the purpose of this list is to simply index every single act of violence in the Bible regardless of context, in which case, that's fair).
I see many examples of violence included in this list that, in context, were actually committed in self-defense or in an attempt to save someone else from cruelty or violence. You can definitely criticize the Biblical violence of the instigators in those cases, but people defending themselves or coming to someone else’s aid even if it means killing the attacker or abuser is actually still very relatable and would probably still be considered just and moral by many people even today — using those particular instances as examples of unnecessarily cruel or barbaric violence comes off as just a bit petty, nitpicky and morally pretentious.
I don’t know if you’re an Atheist, or something else, or how interested you are in Biblical studies, but I linked some books below you can probably pirate on LibGen or TheEye or somewhere that provide an intro into a more in-depth and academically rigorous understanding and criticism of Biblical scripture, if you’re interested in that kind of thing and you haven't already read them.
They might be a bit dry and technical compared to more popular Atheist literature, but when you challenge Biblical scripture you'll be better able to do so by discerning exactly what the text is (probably) saying on its own terms much better than even the majority of Christians can, and exactly why you’re challenging it, or at least you'll probably be better able to recognize inaccurate criticisms of Biblical scripture which don't really help anything (and, in my experience, Western Atheists tend to know Biblical scripture better than many Christians anyways. After all, you don't have to understand something in order to accept it at face value, but you do have to understand it to accurately take it apart)
Amazon: What Are Biblical Values?: What the Bible Says on Key Ethical Issues Amazon: The Atheist Handbook to the Old Testament: Volume 1 Amazon: The Atheist Handbook to the Old Testament: Volume 2