Fun example of this is John Wayne airport in Orange County pilots do a special takooff involving cutting power to engines to reduce noise for Newport Beach neighborhood below dating back to a lawsuit from the 80s.
I wonder if they do this at other airports located in of near cities such as LGA.
I have some mildly related personal experience as well. The glider club I belong to started getting noise complaints from people living near the airport. On a busy day, our tow plane might make 25 takeoffs. We often took the same path every time, repeatedly annoying the same people. We started varying our routes and also replaced the propellor with a quieter one and everybody was happy.
"In 1990, Congress, fearing that many localities could eventually hamstring the growth of aviation by implementing their own patchwork of noise restrictions, passed the Airport Noise and Capacity Act which outlawed curfews at airports. John Wayne was grandfathered in, however, due to the original lawsuit being filed in 1985."
https://www.avgeekery.com/whats-rollercoaster-takeoffs-orang...