<?php
$arr = array(
    "2016-03-03 19:17:59",
    "2016-03-03 19:20:54",
    "2016-05-03 19:12:37"
);
foreach($arr as $key => $date)
  $arr[$key] = date("Y-m-d", strtotime($date));

print_r($arr);

$arr = array(
    "2016-03-03 19:17:59",
    "2016-03-03 19:20:54",
    "2016-05-03 19:12:37"
);
function format_date($val) {
  $v = explode(" ", $val);
  return $v[0];
}
$arr = array_map("format_date", $arr);

print_r($arr);