Вы можете использовать Array.filter
РЕШЕНИЕ 1: Специальные параметры фильтра
let arr = [{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55783329999998,32.9646667]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.32,"depthError":0.58,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.54583329999998,32.98]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.24,"depthError":0.46,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-118.13383329999999,33.777333299999995]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.77,"depthError":0.9,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.555,32.967]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.43,"depthError":0.67,"city":"Isangel","state":"Tafea","country":"VU"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55216670000001,32.9658333]},"properties":{"magType":"mw","type":"tsunami","horizontalError":0.79,"depthError":1.35,"city":"Zaybak","state":"Badakhshan","country":"AF"}}];
let filterObj = {country:['US','AF'], city: ['Brawley','Zaybak'], magType:['mw']};
let result = arr.filter(o => filterObj.country.includes(o.properties.country)
&& filterObj.city.includes(o.properties.city)
&& filterObj.magType.includes(o.properties.magType));
console.log(result);
РЕШЕНИЕ 2: Общие параметры фильтра (все значения в массиве)
let arr = [{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55783329999998,32.9646667]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.32,"depthError":0.58,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.54583329999998,32.98]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.24,"depthError":0.46,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-118.13383329999999,33.777333299999995]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.77,"depthError":0.9,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.555,32.967]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.43,"depthError":0.67,"city":"Isangel","state":"Tafea","country":"VU"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55216670000001,32.9658333]},"properties":{"magType":"mw","type":"tsunami","horizontalError":0.79,"depthError":1.35,"city":"Zaybak","state":"Badakhshan","country":"AF"}}];
let filterObj = {country:['US','AF'], city: ['Brawley','Zaybak'], magType:['mw']};
let filterObjArray = Object.entries(filterObj);
let result = arr.filter(o => filterObjArray.every(([k,v]) => v.includes(o.properties[k])));
console.log(result);
РЕДАКТИРОВАТЬ
let arr = [{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55783329999998,32.9646667]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.32,"depthError":0.58,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.54583329999998,32.98]},"properties":{"magType":"mb","type":"earthquake","horizontalError":0.24,"depthError":0.46,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-118.13383329999999,33.777333299999995]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.77,"depthError":0.9,"city":"Brawley","state":"California","country":"US"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.555,32.967]},"properties":{"magType":"ml","type":"earthquake","horizontalError":0.43,"depthError":0.67,"city":"Isangel","state":"Tafea","country":"VU"}},{"type":"Feature","geometry":{"type":"Point","coordinates":[-115.55216670000001,32.9658333]},"properties":{"magType":"mw","type":"tsunami","horizontalError":0.79,"depthError":1.35,"city":"Zaybak","state":"Badakhshan","country":"AF"}}];
let sel_data_category = {country:['US','AF'], city: ['Brawley','Zaybak'], magType:['mw']}
let sel_data_quant ={horizontalError:[0.68,0.90]}
let filterObjArray = Object.entries(sel_data_category);
let filterQuantArray = Object.entries(sel_data_quant);
let result = arr.filter(o => filterObjArray.every(([k,v]) => v.includes(o.properties[k])) && filterQuantArray.every(([k,[l,h]]) => o.properties[k] >= l && o.properties[k] <= h));
console.log(result);