Geez, who's the builder?
Can you describe a nail pop?
On our last house, it was just about perfect. One wall was slightly crooked in one section. Builder sent a guy to come out immediately, cut out the drywall, shave down the 2x4 that was off a tiny bit, then repaired the drywall. Couldn't tell anything was done. Other than that, there was a hairline crack on the ceiling, but they said if they repainted, you could either see where they repainted or live with the hairline crack. Gave us the option of what to do, but they'd have repainted if we wanted. House was perfect otherwise. This was a Centex house in the Sacramento region (Centex is #1 here).
Our current one we're still trying to find all the flaws. It's a William Lyon homes and they're far from perfect. Generally, it's just paint and trim flaws. Super crappy subcontractors. Structurally, it seems ok. Walls are straight. No cracks. The only issue we've had was the sink separated enough to need to be recaulked and a ton of windows had to be adjusted. All quick, and easy fixes tho. We're really just annoyed cuz the painter likely has vision problems and the carpet they gave us is so incredibly crappy. All super petty compared to seeing countertops separating from walls, and all the other stuff you've had go wrong.