Parsing a GeoJSON file with jQuery

You are almost there. Another .each for val.properties should work:

$.each(data.features, function (key, val) {
    $.each(val.properties, function(i,j){
        items.push('<li id="' + i + '">' + j + '</li>');
    })              
});

What is written above will loop through each element in each JSON object. Those are JSON objects so you want to treat them as the objects geometry and properties then simply reference them using dot notation.

$.each(data.features, function (key, val) {
  geometry = val.geometry;
  properties = val.properties;
  alert (properties.place);  
});