There is a wide range of web-related icons to choose from. Categories include web-application, directional, transportation and brand icons. See the full list of icons here.
Icons in Font Awesome can be restyled by stacking different borders and background to modify their meaning. For example, any icon can be turned into a bullet point by stacking it on a circle, or converted into its negative by stacking a red cancel icon on top of it.
Icofont is sincerely the best collection of free icon fonts out there. The icons are clear-cut, with clean shapes and just the right amount of design on each and most importantly, balanced with just the right default sizes. Better than Fontawesome by far. The only downside is that the last update was in 2018.