There's a similar thread to this (the noisy toilet), but my issue seems a bit different. My house is a ranch, built in 1991, kept up very well, and in Charleston, SC. We have a concrete slab foundation.
The biggest problem is that the toilet in the master bathroom literally screams after flushing; the flush itself is fine (not slow or hitching, never need to hold the handle down or anything), but after the flush the water screams as it fills the toilet---until the very end, when it stops filling and everything. It tapers off just slightly before the very end, but is still very noisy compared to regular toilets. The toilet in the hall bathroom (on a different wall than the master toilet) never has this issue, at all---it's very quiet.
I've tried turning the water flow down on the toilet, but it just extends the screaming, and really does nothing to make it much quieter. It just screams a little quieter but for 3 times as long. I've checked to be sure the toilet isn't using the hot water line (or at least not exclusively----the water is still cold when filling the toilet, even if I run the hot water in the bathroom to be sure the hottest water is actually available in the pipes if the toilet was using it).
The kitchen sink (which is on the same wall as the master toilet) has the same "screaming" issue, but only when using the hot water---the cold water is quiet, and the hot water doesn't start screaming until about 20-30 seconds after turning it on, when hot water is starting to come through the lines. The dishwasher does not have the screaming issue, however, and it uses the hot water line from the kitchen sink (under the sink, obviously). The washing machine does not have the issue either.