Quagga
Former Dictator
I never ever build warriors. I go:
1. worker (or workboat, ideally)
2. Barracks
3. Archer
In contrast, I only build archers if I find out I don't have any nearby copper. That means I won't even start Archery (and Hunting if needed) until I've found this out.
One thing to consider is that two warriors in a city is safer than having a single archer garrison. In my mind, the only plusses of archers are to stop pillaging by barbarian archers and then later to resist barbarian axemen. But if I'm still relying on archers to stop barb axemen, that means I didn't find copper, horses or iron. In other words, a lost game.
Another thing that can go wrong is the barbarian uprising resulting in a nearby stack of barbarian spearmen. It's a hoot when you have the Great Wall. Otherwise, you'd better hope you have axemen!