In genesis one, man and woman were made simultaneously, both after the animals. In genesis 2, man came first, then the plants, then animals, then woman last.
Explain how that doesn't contradict.
As far as the man and woman thing go there's no necessary contradiction.
You need to take the chapters in context in their entirety.
GEN1 is the macro, 30,000 foot, week-long view.
On the 6th day God created both man and woman. No further detail given.
GEN2 is the micro, 50 foot, day-long view.
It provides more detail into, more color on, what God did on that 6th day and when he did it.
It's like me saying, "I went to the grocery store and got a haircut this past Saturday".
So you say, "What? You got a haircut at the grocery store?"
And I say, "No, no, that's not what I mean. What happened was, I woke up and took a shower and ran to the grocery store. I had to pick up a few things. On the way home I passed the barber shop and the parking lot was empty so I figured I may as well stop in and get my hair trimmed."
See what I mean?
I did do both on the same day, but one description is a general overview of my day and the other is more reliably chronological within the day.