Why do you ask about evolution? Is that one of the things you say disagree with the Genesis account? Then please elaborate.
I'm sure that you are aware of the accounts in Genesis 1 and 2. Are you aware of the science? Do they say the same thing - tell the same story?
The Big Bang theory also contradicts Genesis. I suspect that there is no way to show this to you due to a faith-based confirmation bias that protects you from Bible contradiction, or you would already know. It's would be like you asking me what evidence I have for global warming. If you don't know by now, you are likely a faith-based thinker willing to ignore evidence, or unable to see it, meaning that there is no way for anybody to help you see these things.
Make a list of items that occurred according to Genesis, and those that occurred according to the Big Bang theory. You won't find any mention of making woman from a rib in the scientific account, nor of the inflationary epoch in the biblical account. You'll find the occasional area of overlap, but that isn't an argument for how compatible the two are, but how little they have in common and how many ways they are mutually exclusive.
Yes, I agree the Genesis account is history, not science.
When describing the early history of the universe, we are doing both - a scientific account of the history of the universe.
Genesis attempts to do what science and history do, at at least their ancient equivalents - narratives accounting for how the world works and how it got that way.
I am asking you about science SZ, not about your personal hangups with the flood account.
The science contradicts scripture. You were asking for illustrations of where the two are not compatible.
those who understand Genesis in part to be literal, do not have a problem with evolution
Christianity says that man was created in God's image, and with a soul that survives death. Evolution says that natural selection is a blind and undirected process with no purpose or intent (it is dysteleogical). There is no place for a soul or a god in this theory. They are mutually exclusive. One invokes directed mutation, the other doesn't. One makes man a special creature in the eyes of a god, the other regards us as just another unintended consequence of natural selection operating on genetic variation withing populations over generations, and not a qualitatively different type of creation.