The village of Lynbrook website has a more modern look overall. It has a defined color palette, the icons underneath the opening carousel are visually coherent, and the navigation bar collapse/expands based on where you are on the page.
The NYC website had a different approach to the navigation icons, replacing the line of icons with a grid of them instead. In addition, the boxy layout of the rest of the website works well in terms of organization and visual clarity.
The Raleigh residents website also has a coherent style, a modern look, and a good color palette. In addition, it has a vertical navigation bar, alongside a horizontal one holding additional information.